{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fc2dc2a2",
   "metadata": {},
   "source": [
    "# Reconstructing Missing Data\n",
    "# 重建缺失数据\n",
    "此示例演示如何通过插值、抗锯齿筛选和自回归建模来重建缺失数据\n",
    "\n",
    "## 介绍\n",
    "随着廉价数据采集硬件的出现，我们通常可以访问定期快速采样的信号。这使我们可以获得对基础信号的精细近似值。\n",
    "但是，当测量的数据被粗略采样或以其他方式缺少重要部分时，会发生什么情况？如何推断您知道的样本之间的点的信号值？\n",
    "\n",
    "## 线性插值\n",
    "线性插值是迄今为止在采样点之间推断值的最常用方法。需要以非常精细的细节对信号进行采样，以便近似真实信号。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40557c57",
   "metadata": {},
   "source": [
    "在本例中，以精细和粗分辨率对正弦波进行采样。当绘制在图形上时，精细采样的正弦曲线非常类似于真正的连续正弦曲线的样子。因此，可以将其用作“真实信号”的模型。在下面的图中，粗略采样信号的样本显示为由直线连接的圆圈。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "04597bd9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# coding utf-8\n",
    "\n",
    "from scipy.io import loadmat\n",
    "import numpy as np\n",
    "from numpy import ndarray\n",
    "from scipy.interpolate import interp1d\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "\n",
    "\n",
    "def get_data(data_path, isplot=True):\n",
    "    data = loadmat(data_path)\n",
    "    t_true = data['tTrueSignal'].squeeze()\n",
    "    x_true = data['xTrueSignal'].squeeze()\n",
    "    t_resampled = data['tResampled'].squeeze()\n",
    "\n",
    "    # 对数据进行抽取(间隔100抽样)\n",
    "    t_sampled = t_true[::100]\n",
    "    x_sampled = x_true[::100]\n",
    "    if isplot:\n",
    "        # 绘制数据对比图1\n",
    "        plt.figure(1)\n",
    "        plt.plot(t_true, x_true, '-', label='true signal')\n",
    "        plt.plot(t_sampled, x_sampled, 'o-', label='samples')\n",
    "        plt.legend()\n",
    "        plt.show()\n",
    "\n",
    "    return t_true, x_true, t_sampled, x_sampled, t_resampled\n",
    "\n",
    "\n",
    "def data_interp(t, x, t_resampled, method_index):\n",
    "    if method_index == 1:\n",
    "        # 返回一个拟合的函数(线性插值)\n",
    "        fun = interp1d(t, x, kind='linear')\n",
    "    elif method_index == 2:\n",
    "        # 返回一个拟合的函数(三次样条插值)\n",
    "        fun = interp1d(t, x, kind='cubic')\n",
    "    else:\n",
    "        raise Exception(\"未知的方法索引,请检查!\")\n",
    "    # 计算值\n",
    "    x_inter = fun(t_resampled)\n",
    "    return x_inter\n",
    "\n",
    "\n",
    "def result_visiualize(x_inter_1, x_inter_2):\n",
    "    # 加载数据\n",
    "    t_true, x_true, t_sampled, x_sampled, t_resampled = get_data(\"./data.mat\", isplot=False)\n",
    "    plt.figure(3)\n",
    "    plt.plot(t_true, x_true, '-', label='true signal')\n",
    "    plt.plot(t_sampled, x_sampled, 'o-', label='samples')\n",
    "    plt.plot(t_resampled, x_inter_1, 'o-', label='interp1 (linear)')\n",
    "    plt.plot(t_resampled, x_inter_2, '.-', label='interp1 (spline)')\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    # 加载数据\n",
    "    t_true, x_true, t_sampled, x_sampled, t_resampled = get_data(\"./data.mat\")\n",
    "    # 进行插值\n",
    "    x_inter_1 = data_interp(t_sampled, x_sampled, t_resampled, method_index=1)\n",
    "    x_inter_2 = data_interp(t_sampled, x_sampled, t_resampled, method_index=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e134362a",
   "metadata": {},
   "source": [
    "以与执行插值相同的方式恢复中间样品非常简单。这可以通过函数的线性方法完成"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bb9ddd12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1be39ceaf40>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xyN1X/DtIySW0kJhYU/6j55fu59OdN/Lr8Jvgy9vmrau1xkBlJRjtzsFxvA4r9Ya0hJpK0InKBpcu2xxsDPJm72kgBHWjf8lEZPV8lys9L93P6vvO46jjz7j24SsX1aaOr4A2VTEEGXQO6evOJg/v+wFSCITbn35tu3c9mhCc6akr7wp+6X74xYc5pA3x3Zpq9iQHFkwHuLbeTc9orOxD/Y9lGWU+Hz2OVwr2jR0DoK1lFw0auISu1FnWBu6l+5G/+DB99vCiUjc2+1zYLGJFGIJjxhKe6ajwuwM/Jq4IrO4pxc5gjT6z3lrlLO/vZLSpA+og362pZm9qEW2qzm0sz5b3JnjFEGRwYmgiPdrq6O/gU3vuAeCe0B/oMLRRmqr1WcBaT29537SP3EmHovLeZj3F5mLSNq6pc6Nqku6RySIWNHfSyw3GEklHfwfPqhHGFLj5oZvTdRUQNkY0faOu3OvqDxbJu5sDfG0RdWVRBKtr3ZwYLmPjZtA5OJ422B39HXxy9xcA+H9Dz0/Vk2+9/t/VV96DK6NN/UUObcrsT06U8/1H/jKUXSOEOCCEOCyEuD3L+38jhOgw/l4RQqhCiDrjvU4hxMvGe+2zr14covEUQ+OJ9P5Ae6idlNQjUlWp0h7Si9ZYsxGAWnuInvBk+UathrtodzpRAYQgsYh0gGtXyNrzsaFx7BaFFiMZyLM9T+vR30BSS07VldXNgBbDblXK25c73MUjVS6kEGiLTN24pt5N52AZfycgkdLoGplgfZY2lZLaVD3V6fsCbks/Y7EUoxNlGstitKkULLpNralbGW1q2YZACGEBvgFcC5wJ3CiEODPzGCnlF6SUQSllEPhb4DEpZWZKrMuN99uWW56lYo5EzFFmW6BNT08pwabYaQvoRQv4zwDAogwgJXSNlGljNNIBZtJjtdBRP3c6QFPfpqw7TfRR5uo6V9qHe53Vk47+tim2qbqy19AvNNbUuct7pOlrpTFlDCikBCnxqeq8qRvX1VcZm5bl60J6cmQCTU4NMPTob0BK7JaMNtWgdxdS6Ilcynb2NiNtrWThNrVS9nPyMSM4DzgspTwqpUwAPwSun+f4G4Ef5OFz84pZUeYeQbAxyCpNsE7Yueeqewg2BgGor9+MRUoSUo84LttR2RV3sF21YAGElGjAf3s93OyzpafkM2nwOnDZLGV/054cnpwW0ekc11MCvrX50ml1FXA3ElEEG2ti5f2drrgDJ1OeQqoQfL6+jo7z3zfnKWvq3ETjKYbLOC/uSWNAYXaGwcYgG6WVFqzT6qnK04RXk0xour5/2Y6er7iDnZoFl6YhpD4HXahNVTms+D2OU2JpaBVwMuN5l/HaLIQQbuAa4L8zXpbAQ0KI3UKIW+b6ECHELUKIdiFE+8BA/lPAmR2FedOqqQQhofEa9+r0DQtgsdpp0GBMHQXKePS84wb2t/01qhBsiyfAXHZApqfkMxFClP/oGegenZyWI9bMF/Hhcz8+ra4CXn2k1lrVU96j5x03cNDRjFUzNumFIKEotHvm1hwy79Nydk3sHtX3mlbVTtXVgExygaNxWj0BBKTCiKrLhpRtp7njBnouvpMJi4Wtcd0AL9SmQK+rsjVuBvkwBNmcnudqcdcBT85YFrpISnk2+tLSh4QQWfNASim/LaVsk1K2NTQ0LK/EWTg5MkGt24bXSNzS07ubhBBsqD1t1rEBYWdAjeK0KfSMlu/G6su2FgCCzVemp+RWxZqekmdjTb27fI0b+l5OeDI5rXM5NnacOk1SU7t+2rGBGv15jbWXiYRa1jpKISGo0QR2i+5mqcC89WQagpNlXFfdI5NYFUGjVw+QGxk+wogi2OBbN+vYgMVFvzpOo9dR1vffyy79ntpSdz6KEItqU2vr3GVdT5AfQ9AFZDr/tgI9cxz7DmYsC0kpe4z//cDP0Jeaik7P6CSttRmBZEZ6yvUzRi4AAVsV/WqMlhpXetRTjoRGjgJwQfM5fGLDn4IQbHfMb0RX1bjoGS1fn3vTo2najCA+xDoxW1CvqX4LAAohgLI22lExSaNm5TtXf5dWrLhUjWd6nppzycHcKC/n+697dJLmGmd6L8dMT7nev23WsQF7NSGZYlWti55w+X6nrv6DAJzTsIN/POMvQAhONwJO52JVrYu+sVhZBzXmwxA8B2wSQqwXQtjRO/sHZh4khPABrwF+nvFalRDCaz4GrgJeyUOZcqZndJJm31Rov7ncsH71RbOODTjqCAlJi89R1p3LUERfsVvXdAZbN1+PkNA+3sXND900ZwezqsZFNJ4qW7/n7lF9ZJU5Izgq42xw+mcd29igdzgxtR+A3jLtYGJJlYhFpUa4CTYGefvaa4hYBN948ZvT3GEzcdut1LptZfudQDfamQbbTE+5YdX5s44NOP0MKbCqGnrLeCAyEO4EYH1gMxvWvRYh4cXJEDfN06ZaalxoUg+ELFeWbQiklCngVuA3wD7gfinlHiHE+4UQ78849M3AQ1LKzMWyAPCEEOJF4FngV1LKXy+3TEuhZzSWHmXB3MsNQFrZ0lv1Mt1lfNNGEnoH2OA/nfb+3YaeCyTUxJxrmuZvUK4GzpwRtBrlHBk+wqgiWF+9dtaxDqcPryZ5Ln4cxXW8bOuqe3SSUaukzqbvCSRr14HU11cz3WFn0lLus7fRSVbVZMyyR4/gMAQcZ5Kwu5FCYLc/S/foZNnu54xO6IsdTQ2b9Xox2lRyBbcpyFMcgZTyQSnlZinlRinlZ4zX7pZS3p1xzPellO+Ycd5RKeVO42+reW6xGYslicZT00YvL8cHcArrLCufqWz5x8Q3GVYPlm0sQVQdxaNpOF21tAXasFscICUSSU+0J+sIprlGnxWV603bNTqJ3aLgN3IrPLRfj+qU7tlLXqay5R4tgnvNvbw08GJRy7pYjvWeZEJR8Lv0Wc25zbuwCqNpSonPnj1/cbPPVbb1lFQ1QmOxaTO3jokevCi8NDR90t/R38F/DOlaUb+bvI+k7VjZekNFk0NYpKSu9rSMNgWanLtNtRgrDeW8jFeJLGaq0zM7wY7+Dg6SpEeos6bmmcqWGipW99Gy1bGZYJw6Va/iYGOQe6+6lzPt9brb28GfZF12WJVeey7P79Q9MklLjRNFEXT0d/DZQz8E4Gsn/3fWd0krWwJCqByJlKchONm3F4Dm6mZAr6u/OeejICUqGp9/7vNZO5hVNc6y7Vz6wjE0OTVz6+jv4GUZY1CRi2pT5TrTGZdj1KoSxWJNt6mgKwBi7jbVnJ4RlOd3goohAKYMgTmFe/zYb8DQRpk5NZ+mbIkgNbGhLCUZJhIpJpQ4tdjSrwUbg1y08fUgJRoy67JDg8eBzSLKdqTZPTqZHmW2h9pJoXcgmZGqJpnKlgILyejsZb5yYGBYT+C+pn6qfBMyldbnmWspr6XGRSRWnvs5XSPTXUf/2PWHrNHfML1NKWabKsP7T9Ukk8oktdKafi3YGOT8BdqUx2HF57KVbZuCiiEApiy1ORoOGLv7CmJapCowTdnyasdqtMm1ZVnB3SOTRKwqdZbpUrmXrr8ai+n2Jiyz3N4URdDkc5bld4LpG5BTkarMqieYrmx5oeOjDA23FL/Ai2AkegKApropV+W2QBt2xW4YMZnVPdEcuJTj5mo6hsAo4yqpZI3+hqnZqlWTvNYWKNs21R+JMW5JUSem54u4aM1rsQhlzjYF5n5O+X0nk4ohQJ8R2CwindPXMq4HrL1745unRUCamMqWNi2GEOW59ndyeJwRi8Bvr5n2erAxyKd33AZCsMmaPSViS5muPcdTKv2ReHoDMtgYpE6FzYoraz3BlLLl6W47g9F4We7nROPGpn79VH6LYGOQe6/+DqdbqlA0jSePPzJryaGcNyHNWbK53Go3cn/fuObqrHUVDJxFq1RAjZVtfE73yCRhq0addXoGuWBjkC+06RJr65TsSYXKeRkPKoYA0BtSoNqZTghipqf86AX/N2vnArqyZX9yjIC3PCu4q/8YCUVw0pqa1YG0rjoPBXglPpjV7a1cYwn6jL2YFqNziU2OMKRIXle9ae56MpQtq0TXtGuUE/0ihEVKjsVHpr0ebAzy56f/OUlF8K2935+1/ryqjGMJekYnafA60rk9zHwRH7vgH+auK4uDUGpcHz2XoVvsyaFhRi0KIauc1WYaGs5EEYIDyXDWNlWZEawAesIzXEcz0lPORcDqJqTqXhHluEewp/9RAJ6JdWXdnJMIXcpAjc9a02ypKc8AmNCY7ofdZHhhTKWn3DLnOQEjqAzZC5Tf6Lmjv4N97hFU4OaHb5nVgQw63XO6kjZ4HViV8tzPCUVi01JumukpHc6aOc8J2KoJyQSralxl6azwYvfDALyQGsjapligTY3FUkTKcD8HKoYA0DuHaZGqGekp5yLgqCUkNJp8TkKR8rtpO8d1D5lsHUhboA2Hxa53MBJ6ItPd3lpqXKiaLLsAmL4x/Xc2O5ijvfp3Wt98zpznBPy6smUspUcXl9vo+fETTxt5sEXWjUZ9I1UfVUupTXMltZTxfk5fOEYgwxAczUhPORcBZz2DCrR4y3Np6OCYrjYwV5syXUn1NtU9q00BZetheMobAlWT9IVj6eWGmekp5yLgaiSqCJpcUUJlWLlVCd1DQ0HJujl3z1X3ck7VKhDwk0PT3d7MCOtyi1rtNwxBo9HBHBs+kE5PORduTyNeTRJO6gql5dYQ17h3IIwh/1wb3refe3vaV32mK2mzz0lPmX0n0KNoA9X6npuaSnA8Iz3lXDRVNaMKQcARYiASL7tMeZ64vnQ8lxPJPVfdw/nVG+ZtU+Vo4KBiCBiMxklpkmafbrEf2vtfs9JTZsNUtqyznGA8oRKNpwpe1lywx/XR/F9tfW/2zbnGILs2viEdYJY5wjFHcv1jZTYjCMdw2SxUO/Ulu5npKecigIX+RJhat43+Mpu9+ZTTcGqSMxTvnBveY6mo7s0smLXsEKh2MlBmM7d4SmV4PJGeuf3uwP2z0lNmI+DTo8O9Ft2Lqty+lyOml+e9m942Z5tq23CN0aamzxrM36LcZtkmp7whCBmjzEC1k47+Dv5p773A9PSU2QjUbADAYWxCmtcpF+JyFJcm+WDbR+fcnLug9ZK02xtMRbCaI7ly+04hY5QphJgzPWU2AoqTkDpOoNqZ3mcoF3qHQkxaFC6uWj9nPc0XFa5/p1hZSTKYAwizTX1y9xeB6ekpsxEwlH4VrRsov/svpg4jpOS2c/9mzrra1XIBVmExnk21qQav3qb6y+w7mZzyhmDqpnXMmZ4yG+YmpJrSNyHLaXkonlKJK+PULzCzDjYG+T/bbgZAlVMRrLVuOzaLIFRmo5dQxrrzXOkps9Fk9xGSKRqrnWXXEEODBwBoqZ47xsH0s99irUZKOS2CNVDtYKLMZqTpwZXPOWd6ymwEGrYCEE/1Gdcpn/tPSklcjFGjSay27C6ioNfVx4If0qPCM9qU02ahxm0rq++UySlvCMyN3kavc870lNloNNLr/XHyFRTX8bLaMO4fixO3JqZFFc+Fanelo6jNCFbF0JAvtxFZKDJlCOZKT5kNaXMxZBE4nIfKriGOhHWp8IBv9bzHBRuDXLT+GoBpEazm71FO3yuUMbiaKz1lNmpq1mOVkqcmD6G4jpfVMl54MkncMkmdtCx4bFxRZrUpgEAZtimTU94Q9I/FEQL8Hvuc6SmzsW/sGEjJ7mQ/7jX38mJ/+ejYhMZiRCwp6pX5vTTAjGA1w/unIlgbqx1ltUcgpb6pb7qOzpWeciYd/R08MNEJwHPJLzKUOoiqlc8ySnRClwpvNJYa5+PyTW+alQzFTPpSTjOdTO+uudJTZuPFwZdQEbyYGsG95l5eGSyfNtU3FmPCmqQ+S96LmaTb1Iyo8MZqR9nNsk0qhiASo77KgdWizJmeMhtpv2FAiBT7RzsKXtbF0jcWY9QKfkd21cpMgo3BrMlQym30Ep5MEk9pNBprrXOlp5yJLmimd/waKsJ1hKHx8mmMk0ndrdVft3mBI/W6uuN0PRnKGbZaIGM/p4xGz6GxGHargs+lDzD650hPORM9vkVHCJXDkZcKW9Ac6AvHiFg06ueIxs/EbFMbFCd2TeOPJx83lvHKb2nSpGIIxqbc3OZLTzmTtkAbisBIymnFmlz4nGLRN9jNpKLQlEWaORvBxiA3rLl6WjIUq/t4WRmCmcFk8+WLyET3w9e9jEyRwHKa6cS1EaxSUlu78IwAYON6PRlKx2QfNz10E6GEvsdQXktDejCZECKdLyJbesqZZLYpgQUmNxa8rIslNBphxCJocNYt6vhgY5AbN76FSUXwzVfu4eaHbkZxdtIfiaOV0YzUJC+GQAhxjRDigBDisBDi9izvXyaECAshOoy/OxZ7bqEJRWJTo8yep4Hs6SlnEmwMcrmtAYeUbFT/momx+eMOisngkN45NM+zATmTVN36aRGsk5ZDjMVSTCbKQ5unL8O7C+ZOTzmTYGOQr138OQCudZ6GNrm2bAxcIqWRUKLUaswbxZ7JzGQoe4ZfwOOwls13AjOYzGhT86SnnEmwMcjrXatRkGwVf814GbWpvoFDaELQ7A0s+pyIp2Fam4oq+rLkUBnmWli2IRBCWIBvoCefPxO4UQhxZpZD/yClDBp/d+Z4bsHQZwRG5zKo68JnS0+Zja2eVuKK4DTXmrIakYUj+gZkg2/Nos+ZmQylsUof+ZTLhl1oZlTxHOkps3HB2itwaxK3jBvXKo+6GojGSVhii9qANMmWDKW2rqesZjl6MJlRT/Okp8zG9ur1aEKwxVVbVstdI6O6VHiTd/HG6dzmc7EpepuSUqPRrbepcjLaJvmYEZwHHDayjSWAHwLXF+HcZaNqksFofGpGsMjlBpOAEX3sd5ykP1I+vtzjk3psQ2PN4qfWejKUj6STofym71u6N1SZdDCme26D1zFvespsCEUhIBWGk2GEKJ+G2BeOMW5NUq+4Fj7YwHQl3ZmRDCXs+xqd0T0FLOniMTf104MrQ8AxW3rKbASq9cFLjeUEoxPJslGLjYwfB6ChZvE5LYKNQT5xzifSuQp+0fXNsvOGMsmHIVgFnMx43mW8NpMLhBAvCiH+VwixNcdzC8JQNI4mpyQL5kpPOReBmnUAeEUXSVWWTXq9uKpL/vr9c4uxZWNCqulkKKqWxOo+WjadZigSo9Ztw2mzpNNTssg9EICAxUkoNU59laNsGmL/WIywVeK3LbwBmUmwMcgFGclQpFDpT+4tUClzIxJPMZlU0zO3udJTzkWTsT9nE3pu4HKJLo4l9NiGhrrc9gKj2mS6TaW0hNGmyuM7ZZIPQyCyvDZzaPw8sFZKuRP4GvA/OZyrHyjELUKIdiFE+8DAwFLLOg2zQhq9jnnTU85FwFS9lOUTACOlJC5HsUtJdQ7TWJidDCU1saFsDEFfOJ6OVDXTU96VJT3lXJjKlk0+R1nUE0DvyDBhi0Kja37phWxkJkOxYGFsdG1ZzEjNmVtjtSOdnnIgS3rKuTBFAlXNbFPlcf/FNN1d2V+f2+Aqs01RZm0qk3wYgi4gMxqmFejJPEBKOSaljBqPHwRsQgj/Ys7NuMa3pZRtUsq2hobFjwTnI1NeYr70lHPR2GhEQqq6C2A5rGlG4ilGbWM4NN0vOxfMZChbLFVYNA2vdy97h18uUElzo98IJlsoPeVcBFy6smWTRymbnAQDg4cAOCJiizZoJpnJUFqlg6SqEZ4svcRx2rur2jlvesq5qKvbhFVKJlL6rLavDDrNlKoxYh3GoWnsDR/J6VyzTW23+hBS0lj7MvtHyqNNZZIPQ/AcsEkIsV4IYQfeATyQeYAQokkY8yMhxHnG5w4t5txCYgpANVY75k1PORdut59qTTKWGgbKQ2bi8c7nOOqOE1HEokdhmejJUP6MhCLQ6h7jkdE7c75GITA9URZKTzkXAUPZstkVKpuloWNjfwTg0cjRJdWVmQzlOBHca+7h8ROLM4qFJNO7a770lHOhWKw0aoLRlJ6kpxxmb4+deI7DVePEhbLkNvWu7TehCsF49RP8cfwzZdGmMlm2IZBSpoBbgd8A+4D7pZR7hBDvF0K83zjsrcArQogXgbuAd0idrOcut0yLJTQWM6KKHShRPV3gXOkp5yKAheFUGCgPZcFn+p7TR2Fi8aOwmQw5q/QFOgFCxmn/73fCS/fnv7CLREtv6jsXlZ4yG02GsmWNpYvBaKIsJI77kvsBZqm/LpbMZCiKSBL637fDl7eVtK4GMgZX9qi+hDtXesq5CCh2+lMR7FalLAKwnup+1sgZsfQ21a2oU22KRMnb1EwW57y8AMZyz4MzXrs74/HXga8v9txi0R+JU19lx2ZROBY+mk5PuVifboCA4iKkTuBz2RiMlt4QNNqmvG9zGTFn0hYdw4YkqSvl4xsfhl98WH9zxw15KuniGZlIoEldBiQ2McyQIrlhnvSU2QjUbgLARg+wkYFIfFpWulJQlQDs2XNGLIa2QBt2YSGmJZFAr9VCRzREsIR1NRiN47ZbcNutHDXyRXzsgv+Lw7lwlLtJwFrFvsQIgWpHWayntzi2Yfbir5Y2NZNTOrK4fyyW1mpZTHrKbATs1YRkigavoyw8HFyJRhCCXY7mnEZhmQSf/i63Dw4bXinw+fpaOhQVHrkz7+VdDGYAjt/r4HjXUwump8yGqWyZ1PT9nHIw2s5UDKTkgzvfv6S6CjYGuSecZNdkDITgJ14PNzc1lrauonH8HsMdO52ecvFGACDgqCMkJPVVNgajpffE88gNWICgtW5Zbepvy6hNzeTUNgSROI1mBOQi0lNmQ9rcDFkEVZ7DZdG5DI/oyw2v9weXdMMCEO5izGLB2NQhKQTtTieEu/JVzJwYNAxsfZUjnZ5yQ3NuozKfby02TbI7cRjFdbzkRlvVJAkRoU6T/FXwA0uuq+BQF+fG4nqugnKoq2iCeo8d0NNTblggPWU2AlUBYopAdf8P3ZP78l3EnBkcPoIqBFf4Tl9WmwpntKlEietpJqe0IQiNxQh4nYtOTzkTXdlSz47V6fg6PZP7C1HMnBiL6OUJ5BBVPAtfK22xWHrd0CIlbbEY+EoT8j9gGNgGrz2dnnLtIqO/TV4cfImUELysjeJec2/JN+tGJhIkrDHqc4gqzoqvlV2xmCGfLrGVuK4GjRmBmZ5y/QLpKbMxadOX7DqVhxn03FXyuho1ooqbl/ObzmhTVklJ62kmp6whSEcVVzs4fvKJJS03ZCpbSlTClN4QTBpRxf4cIiBnccUdBDULfzOke258bHiUoGaBK+5Y4MTCMGQsD9RXOTi6xOWGTGVLRIq9Iy/kt5A5MhRNMGFNUivmTnKyKIy62hZPEFBV7unrL2ldDUYT+D12enp3E1cE63OIbjcJYUYTS6RI8Uzvc/ktZI5ExzsBaFhkJHtWjHr6x0E9HuEDo6VtUzM5ZQ3B0LgRVex18GjnwwAkPY05XSNT2VJBMDG2ruQibbGU7v3UkGPgyzR23ADX3cUu9Gm90+KC6+4q2abWYDSOVRH4XDb2JkexWuw5jxKnKVtKK25tGb9PHhiMxhmzaNRbPcu7kFFXG5IaGhB0BkpWV6omGR7XZwSPHPmF/lqObQrgotWXAka0qbSyuXpnHkuZO5PpqOJlqKEa9XQB+gDGLhwlbVMzOWUNwWBEH2WOc4S7+x4DKfmnvbktGQQbg3z9ki8A8FrLerTJtSXfJzBljWsWIfs7LztuQHnn4wDsqT+rpDfsYDROvcdOR2g3J4VGJ4mc/bl1Zcs1KEhqRj+IFlvG6C4P9I9FGLUIGhyLkzWelx03EHeeyaDFQvLWZ0tWV6Z3V8JyjK8e/xUAnz98f85G+9KN1yGkZKuoZ+LETTQ6Smu0Y0Zwm7/+jOVdaMcNOD74IjYp2ec7vWyMAJzChsBMTtKX3IOKBCFIaamcfYQvWHcFVRnKlqWMJdDzqkaoUxcvazwfzfUN+FSN4cRQHkq3dIaiCeqrHPzu8AM5R39nssNQttzg8JZ8s3hgUJc1DngWL2s8Hz57E1IIekOlE58zl/CG1L0Z0d/z5/7OhtXmpEGDVhRjcFVaz6E4Yao0DZd7+Ua72mWnPiUZUUeXX7A8csoaAnPkfl7TuQhj8XipPsIBqRDWxqZdtxRE4yni1nhOssbz4bBaqE0pjGqRvFxvqQxG4/i9DvyqnqA9l+jvTExly0ZHd8lnbqascUvNMjb1M6j16Eotx3pKZwjM3/Ssxja9TeUY/Z1Jk7Axour3XSmNtqpJ4so49Vp+ukohBD7VyqicyMv18sWpawiMpaELVu3AguRs29J9hAMWJ4OaXrGlvGmHogmiliS1In+BUtWanRFK22maG5BiXI9UvemMdy6prgKGcmSVta/kM4JoVJc1bjQUbJdLoxEw12XoF5UC0xDsajmbKinZZvUuvU1ZqxgwZtmlNNojEwkmLQlqpS1v1/RqboZF6XWhMjl1DcF4HLtFITqsuxVe33jukn2EA7Zq+qVesaW8aQejccaskrocZY3nwyM9DFtKtwEupUy7JJr5Im477xNL61wMZUtF9BOJpUqqdT9ubkAuIi3qYljVpGcA64uUzi/dXMKxpbqIKoJr67YtvU05agkJDbfdko4jKQWD0TgRq0qdJfd4iLnwiGoGrSC10sucmJy6hiCijzJzSU85FwGXn0EF/O7SzghCo7qssX+ReVUXQ5VSy6hFIR4L5+2auRCNp4inNPweO0cXmZ5yLupqT8MqJQmp73mUMmXgpJkzov70vFyvtWEdLk1jMNafl+stBdO7a6DfaFOLSE85FwF3gHFF0OoZT8eRlIKBcIxRi6DOnpu78nx4rH6SQjAyejRv11wup6whGBrX151zTU+ZjUBVM5oQrPeGSmoIXuh+CADVkb+lIa9DDwjqH1hcYpF8M5gRQ3Ash/SU2VAsVgKaICp1o1bSZTyhyxrvCednKaeh2kVdSjCcHM3L9ZbCYET37uoc0OXPF5ueMhsBI5fGandp93NCwyeIK4IuJZW3wLZql557qzdUmjaVjVPWEAxGdcG5o2OdOaWnzEbAcNVscvaW7Kbt6O/gJ4PfBuBH4Y683bQ+t76ZebK/NMFyQ8bv6RU9OaWnnIuAYmdEGwco2ZJDR38H+93RJcsaZ8Nlt+BNWRlhcvkFXCJD4wl9CS/H9JTZCNRsAKDWUdr9nJf7fgfAs4nuvNVVbbXe13T2H1j2tfLFqWsIIvpN+0p8MKf0lNlIb0LaQiWbxupRzvqat5pDwpaFqDc2IX/QufhsYPnENKyHBg2B2hzSU2YjYPUwQGLatYvNE13PLFvWOBtSODiRx5Frrph7Obmmp8xGwK8vmTmV/pK6jx6OdgC69mi+6ipQp8cj/Lz3DyWXzzA5JQ2BlJKh8Tiq7VjO6Smz0WQoW1qVQQYjiZKkDNQTtug+9kt12ctG3K17SzwWPZC3EVEuDEYTKK7j3Nv7MyC39JTZCDjr6BcS0Eo20tzo3QnIZblXzqSjv4NDzknGFbjpoZtK0sEMRRNYXMdzTk+ZjUa/3qY0McTIROnyR1Qn9Da1VKnwbEy6NZCSP8aPl6RNZeOUNARjkymSqiSqPbOsACWT6uo12DXJPnGcuPUo4yWQmQg2Btke8yOk5Nuv+9bSVRJn0C+7dGVL8jt6XSyD0ThW99ElpafMRqAqQFwR+Jv+lwOjpUkZWGfRZY23WWqX7F45k/ZQO5oRGJlUi19PUkoGonESlldyTk+ZDZujimpVsk/0IpzHGS7Rxr4joedDuGXre/JWV13xqWXWUrSpbOTFEAghrhFCHBBCHBZC3J7l/T8XQrxk/D0lhNiZ8V6nEOJlIUSHEKIov8igEVW8VjGt/dITToCubJkUgoNiDPeae3miRCkDbWqcOk1ydo4SzfNx4arzDM2X/M40FstgNI5b3byk9JTZmLS5AYjX/IE/REuTMrBvQJc1vsSzOW8Guy3QpiezB6xCKXo9ReIpEimN9RZrzukps9HR30FEERwW47jX3MuTJ3fnt8CLZFIbxalJPnj2R/JWV5es3oVAlKxNZWPZhkAIYQG+AVwLnAncKIQ4c8Zhx4DXSCl3AP8MfHvG+5dLKYNSyqL8IuYmYY0R5p1resqZpJUtBSBSPN37bD6KmTOTyiS1Wn6iik0uWdPGmpgVvybyNiLKhaFoAr99y5LSU2ajDz06GQGazF1SJB/0D+qbhC3Vq/N2zWBjkGtdbwHg5ubLS1JPAI2GR1au6Sln0h5qRwrSbao9VBoF0kkRoV4DoeRv8eT8lrPZMGnHp1GSNpWNfHy784DDUsqjUsoE8EPg+swDpJRPSSlHjKdPAyUV4TY3n4biJ9LpKZdTGVPKlhKklSbb1vwUNAdiSZVxS5Ialu5nnw2bRaE+VYVELckNOxiN0+SOMaRIXpdjespsXNz6Gv2BBLCUZDQ2PKbnjGj1L0MqPAtnNF4BgHVyPK/XXQzmxnsk0ZlOT7ncNmVBpNuU3zpzbFl4pJSMK3Fq8hhVDLrMhF/1EReSnf4deb32UsmHIVgFnMx43mW8Nhd/CfxvxnMJPCSE2C2EuGWuk4QQtwgh2oUQ7QMDA8sqsCk4150YWFJ6yplMKVvC5Im/wM0y5GqXyPB4grBFo8ayTFnjLDilj2FFkIyXooNJ0GI/sKR8Edm4ZOMbEFKySauBnr8qiXGLTvYAEKjblNfrNvk3YtckvdHevF53MZiz7P5k35LyRcwk2BjkT72bQAjUEzfi0orfpiLxFFGLSk0eJVtMnKKOmCIYK2EkeCb5SF4vsryW1W1GCHE5uiG4OOPli6SUPUKIRuBhIcR+KeXjsy4o5bcxlpTa2tpmXT+ZTNLV1UUstnCy6y2OJPe+qRmr7V+wo7Bv3/LT4f3paX/H69QYYouXKsdYXq6ZC4mUyj/uuAu3sOX9s9+962+5QSQ4cOgQFkt+ZxxOp5PW1lZstuyjrsFoHLdfD7rKNT1lNkxly1VS8PxYK7GkitOW3+W0hYgmB8ECDf78RBWbNFQ7qVdhID6y8MF5ZtDYzD2hRpaUnjIbwdrTuT9ykFWKUhJX38FInFGrpFapzvu1ndZm4AChgT34lpNNME/kwxB0AZmLna1Az8yDhBA7gHuBa6WUaV1jKWWP8b9fCPEz9KWmWYZgwUJ0deH1elm3bh1CZLNNGceOTBCZjKPZHTRYXDTWbsj142YxFu3jZGwIR7IWp7OG1lr3sq+ZC6PjEayTggaLh8ba/Grtdw10ERZh1rubcLvr83ZdKSVDQ0N0dXWxfv3sZZJYUiUSS5GUJ1HIPT3lXDQJG2PSCCqLxoteVxPqCB5Nw+mqzet1G7wOvCkLg6IEM7dIHIUUJ4TKhUtIT5mNQM16OAEtVf0lcfXtHuxiQlGoc+bvnjepcq8BDULDh9jMtXm/fq7kY2noOWCTEGK9EMIOvAN4IPMAIcQa4KfAu6SUBzNerxJCeM3HwFXAkqJQYrEY9fX1CxoBgJQqcVj0G8thXWaqQAObMVK2KilSavHjCFKpmFEOe96vbc4Ckmp+G6MQgvr6+jlncaYW0Ijsz8tyg0nAWsWQEVRWig5mQoxTp+bfc9vvceBMORmk+K6Wg9E4m7y6HMOGmvwI6QWMpcBq+0BJZgS9IX1m3VjVkvdrV1dv1j9j9Fjer70Uln03SilTwK3Ab4B9wP1Syj1CiPcLId5vHHYHUA/8+ww30QDwhBDiReBZ4FdSyl8vtSyLMQIAKU0iFF02Wir5mBSB1TAoikiR0kpgCFS98duthTAE+hppUs1/BzNfnZnyEkdlBMsS0lPORcBRS7+iB5WVImo1WoANSACnzYJd9TBoAc3I3VAshqIJaqqfByDlWV70t0mjEahpsw2XZmlo9AgALbX5X7rx129GkZKesVmLJyUhL8MSKeWDUsrNUsqNUsrPGK/dLaW823h8k5Sy1nARTbuJGp5GO42/rea5hSYpY0wIXZOlJzbIRHL5SSKsVqe+WSJSpEogL6tqugy23Zr/jS2r1YaCJKEWV0N9MBrH6jpKt0UuKT3lXATcASYVgVcZLXoHE0uqRCwqPqUwy1E26nVly5HiKluenNjLfq/u67+U9JTZcLnr8GmSlBIuicEejeobuWsa87upD9Doq6FWlfROLs/xJV+ckpHFqpxaipBSMp5c/ppqOBzmR9/9IRKtaEtDPT09vPWtbwVAM/IhWKzL38z9/ve/z6233pp+blUULFKQksWNmB6MJPB5d+cl+jsTU9my3nay6MJzg5EYIxZBjTV/ssaZ2K36+nzIUNUtFoOpvXpkM0tLTzkXASyMi3FGJhKkiiwzMRYPAdDUkN9NfQC/14EvZWEgWdrsfyannCHQNInUppZPhBBU2Zbv5TA6OsoPv/dDVDQ0KVEzlodUtTAdaEtLCz/5yU8A0KSKBYmi5N8DxmoRWCQki20IxuM0LDM9ZTZMZctGV6joOQm6+jtJKII6R/43IAEcDt1RIDRyuCDXn4uJ8LqCRKAHLC5GRQwpYXiiuHU1nhrCrkmqq/O/NFRfZcedsjMgF/ZyLAannCFIaRpodgTgFhbWVa/DbVv+NP3222/neOdJ3nD5W/jSp/8vj/z+d1x++eX82Z/9Gdu3b6ezs5Nt26YSdXzxi1/kU5/6FABHjhzhmmuu4ZxzzuGSSy5h//7Zks+PPfYYwWCQYDDIWWedRSQSmXbNsclxPvqXH2fb9m28/e1vZ9euXbS366Myj8fD3//937Nz507OP/98QiF9pPOLX/yCXbt2cdZZZ/G6170u/fpMrIqCRCEhyMsy2mIZjCRoUvQR01LTU2bDVLascQ0VXS32mRO/ASDpLMzSkKdaX8b4ac/jRZPPiCVVImOtuDVtWekpsxGw+xgU+gDETC9bLEJiFLvUJWTyjd/rIKHZ6Va0shCdy89OaZnxT7/Yw96esazvaVISSyZBJLErVqyWxflcn9lSzT9eN3fE8Gc/+1k6Xnye/370v0nFVtG9dzfPPvssr7zyCuvXr6ezs3POc2+55RbuvvtuNm3axDPPPMMHP/hBfve730075otf/CLf+MY3uOiii4hGozidU95OE8kJ7vv+D/DWVHP/o/czfmKcC869IP3++Pg4559/Pp/5zGf4xCc+wT333MM//MM/cPHFF/P0008jhODee+/l85//PP/2b/82q3xJbZK4ok/LO8c682Y8F2IwGkc4h9LpKfOFqWxps40WdWmoo7+D7/f+BwA/HnuGa/s78h7QlnBrMCF5LHqMpx+6uSgSBoPRODWWPsYtyrLSU2Yj4GpgJN6DXUwWdT+no7+D/fZJJIKbC/A7Hh3bwyFvFCkUbnroJu696t6SSk2ccjMCKUEYSpaKyO/XF0IgAYs1TEyNcd5552X1j88kGo3y1FNP8ba3vY1gMMhf/dVf0ds7OzL0oosu4mMf+xh33XUXo6OjWK1TNnw8Oc4Lz7zAtW++Fikl67asY8eOqdB1u93OG9/4RgDOOeectFHq6uri6quvZvv27XzhC19gz549Wcs4kZqaBeRrT2UxDI3Hidgiy0pPmQ1T2fK4PURvrHgJd9pD7aTIf86ITMaEHnxXTLXYoWiCVQ5dP2k56SmzEfDorpvehl/xQqgjr9eeD10/TOY9Z8Ss60NJ1GJn8qqcEcw3ch8ejzMaOcGkNcGWmtOw5mFzdRbWKOHEAE731KjdarWiZXgTmb7zmqZRU1NDR0fHvJe8/fbbecMb3sCDDz7I+eefz29/+9v0rMBhcaVzIGTb87DZbGk3TYvFQiqlr7vfdtttfOxjH+NNb3oTjz76aHqpaiaZ1xPkZ09lMQxGEoz7UlzpzE+AkompbDmmxKD6a3T0n1WU0VhboA1FCjQhsVkKozq5vf5s/jDwH0hJwT5jJoPROD7ncWB56SmzEbXp93iirp3vH3uJ12xpKEpd7ag3sqsV6HfU84dY0FCxlEAtdian3IwgpUoQKSyQVyPg9XqJRKdGyhKJqk1trgYCAfr7+xkaGiIej/PLX/4SgOrqatavX8+Pf/xj/TwpefHFF2dd/8iRI2zfvp1PfvKTtLW1TdtHsEjBWbvO4rc/f4h11evoPNTJyy8vrLUfDodZtUqXhbrvvvvmPM5tc+PSdC+XBru3KMtCAMmJTsIWZdnpKWeSqWwpRYpneoujbBlsDLIzUYNV0wq2FNDWdBbrJ+z4ZPGULYeiCaz20LLTU2ajVxr7AgLUIqrF1itNIATblIaC/I7BxiA7UjcA8B5/W8kVSE89Q6BJUoqGQn43Puvr67nggvP5k0v+hC9+6ouAwJLhwWOz2bjjjjvYtWsXb3zjGzn99CmXtP/8z//kO9/5Djt37mTr1q38/Oc/n3X9r3zlK2zbto2dO3ficrm49tqpsPREMsY7/uIdjA2Pcf455/O5z32OHTt24PPN76L4qU99ire97W1ccskl+P3zJ4W3KrqYnSKL48KnahKL9Q/6E3djXq89U9lyU/XOhU/KExYtTkAVBWv4fo8DX6KaOMVTthyIxhlxjuJZZnrKbFy67ir9gQSBtWgj5xM9uvvtxVX53fPIpNl7GQCOZOnyTJu8KpeG5iOmTpI0glnzvfF5/w/vZ+/QPuzSgkVp5C+uf++09z/84Q/z4Q9/eNZ569ev59e/nj+g+mtf+9qs19atW8crr7zCwGgPDqeDe79zNwH/ao4cOcIVV1zB2rX6SDoajabPeetb35qOPbj++uu5/vrrZ133ve99L+997/SyWyx2hKqvZxaDP5xoJxR4BoC7Tj7Ijv635q1B6sqWm7k/cgD1+I002pevarpYoiKOTytcs/N7HWhJHzFlkLGxE/hq1hXss0wOjLxMpzMFIv8bq+evfS0uTdKQqsJp+T9FGzn3DepKOI2+/OWMmInfV0dtVCM0UfqgslNwRjDVKeZ741MIBStgkyDV/Es9zEVKTRKbjHHt1dezc+dO3vzmN/PNb34Tuz1/ZbBaFKxSkpTFkS74Y88z6c205aanzEawVp+RNagU1YV0zJKiugCyxiZVdguqqs/u+gayb/7nmxPRqaW1QmystkiFBk0yGSlcpzyTgTF9z2NV/fIFKefC73HgUxX6EuGCfcZiOeVmBBZNkjRWbPIVTJaJDYEmihddDKDKJFWeKtqfexYlT9pJM7EqAkUKkkVaGlrl3I6Z66cQm3VNhrKlz96Tzq5VaFRNMmKRbNO8BfsMIQRY9H2f0PBhijHX8cQ0cCw/PeVcBCxOBtV4Oo9IMRid0D331rUULiFOvcdOVdJOyFpZGio6ijGirXfUUO2szfvGp00oxKRaVL0hTaooQhbMCIA+I1Ckkk4iX2iqxWnUqBp1VjefKsBmXaBe7yKrrP1F80/vHuhiUlGosRYmqtjE4tSTuITCnQX9HJOqySFw6Okpr936zvzXlb2ag2ofQ9EEmiZRlMWJSy6HscQQVqukyZ9/nSGTBo8DW8pNlxgu2GcsllNqaUhK3WNIoPsnF8L7xSospIQ++tOKpEKqomGVhW0cVkUgUEhB2lW1kPSPhBi1CK7wLj89ZTZMZUunfaRoQWWd3bonV527uaCf4/JuRJGS0HhxMpUlOZmX9JRzEXA2MKQAWozwZHH2qCJqmFpVLjt74Xz4vQ5IVhNWFCYnSmsMTilDkNIkmlCxy8VLVueKTbGhARbUoslRq2i6F0wBsVoEUlqQTOU+KCQjA88hhWBTnrN4mThdtdRoEsUeLdqMoHdI1/9pyGPS+mzUe73UqZLQ5GBBPwcgpWrELUM0q+QtX8RMAp5mpBDUW3uKVlcRJvCphc1c5/c4SKb05ET9RdrPmYtTyxCokpTQsIvCVbCZGMYqEkVbHlKRKAWuSquioBka+sUwBOGoPnrOR3rKuQhgIWGdKJrwXH/4BAAt/vwkbpmLeo8dX8pCKJldZiWfDE8kCNtjtFK42JKAbx0Adbbuom3sjylJqmUBgk0zqHHZmEwFAAgNHyjoZy3EKWUIkqkkKSGwK/lPCmJiZiqziGRBN4wvu+wy2tvbkVKiCoGlwFVpUQTSMAT5zlSWjWjyGIrMX3rKbAQsbqKWRNGylI1M6ks1a5vnjnzPB36PA1fKTkgtvMEeCEfps0labPlJRpONQJ2+Tu+xhYq2sT9q0fAqhY2gVxSBatWVTUMlzlSWl95DCHGNEOKAEOKwEOL2LO8LIcRdxvsvCSHOXuy5eWNiGOuYrsPiSk5A+3fhy9vgUzX6/5fuz8vHTGUqSxZlRpBMxXV9owJuFKdR9NnOaDJSWBXSl+7Hoh5kVSqF45sX5a1uZhKw+xi2qEVLejKWGMKhSVY15DdSeiZ+j65seVIUWNnypftx/vBC4opgx/CBwtWTsZ/jsA0VZWlocjJC2KJQbclvTulsKE59dvjL/vaSqpAu2xAIISzAN4BrgTOBG4UQM32urgU2GX+3AN/M4dzlMzEM4ZNEhT5Ctx78Dfz6dgifBKT+/xcfXvaNPD4+zp/8ydt4y2Vv4drLr+Un99/PnXfeybnnnsu2bdu45ZZb0hutl112GR/96Ee59NJLOeOMM3juued4y1vewqZNm/iHf/gHADo7Ozn99NN5z3vew44dO3jrW9/KxMT0DngsFubJ3z/Jdde8lbPPPpu3ve1t6QCy22+/nTPPPJMdO3bw8Y9/fFnfDUAad0tETdA51lkYY/DS/fCLD3PAbsEioSMWykvdZCPgamDEohCdGJ6WP6JQdGsj2CS8NLSw/MdyCGuHOeSNklQENz10U2E6GKOe/qDocTgyNVGweqr2tuLUJIotXBRD8Ov9emR/0l64eA8TqzcMUvJUrCdvGfiWVI48XOM84LCU8iiAEOKHwPVAZoqk64H/kHov+LQQokYI0QysW8S5ufO/t0NfRmNLjqNKSZUQVAGu0CswM0I2OQk/vxV2z6G507Qdrv3svB/761//mlWrVvGl//gCihQkJqpo8b6BO+64A4B3vetd/PKXv+S6664DdFXQxx9/nK9+9atcf/317N69m7q6OjZu3MhHP/pRAA4cOMB3vvMdLrroIt73vvfx7//+7+lOPZaKcaDnEN/+0rf51k++xZktW/nal77Gl770JW699VZ+9rOfsX//foQQjI6O5vwzzkQoUyNnMxgv755Xj9zJ84rKSZt+a97c1Mg9ff0EH7kTdtyQ148KeFpgtIMq/4M8cXI9r1l7bl6vn0lHfwd7bBMFkzXOpDv2coayZYL2UHv+P+uRO+lQVL5apwevfb6+ls0FqiehKNRIQV9VGOfoHqAwDgSg19M/v6xLsf9W3UtHAaTCM5HOw5hSB2YwXil0h/KxNLQKOJnxvMt4bTHHLOZcAIQQtwgh2oUQ7QMDOYZkSw01w6lGzCWTsMy17+3bt/Pwbx/mC3d+iaefbkdUjfPrh3/Nrl272L59O7/73e+mST2/6U1vSp+3detWmpubcTgcbNiwgZMn9Z9l9erVXHSRvk7+zne+kyeeeCJ9/mRqko7dL3Lk4BHe+YZ3cd4553Hfffdx/PhxqqurcTqd3HTTTfz0pz/F7V5+h21XpkZIhQjGAyDcxe/cLj09pRAkhaDd6YRwV94/KmqM+BJ1u/nY4x8o6Gis0LLGmVy4ahfCmL5ZhKUw+jzhLtqdTsw481QB66mjv4N+C/TaUjwz+ZmC11PKiDVSKYxUeCbrqnYUJLNbruRjRpDNb3HmPHuuYxZzrv6ilN8Gvg3Q1tY2/zx+5sg9tIeUluS4zYpEsOm+N2OPZMnG5VsNf/GreS89H5s3b+ahPzzET3/xU77y6a9w4eUX8qPv/ojndz/P6tWr+dSnPpWWnwZwOPSNZUVR0o/N56ZU9Ew318znLqsLJFzwmgv44j1fnKWb9Oyzz/LII4/wwx/+kK9//euzkt3kisPiIpkSpBTJmkIlp/G14lf1ZEGKlNikpC0WA19r3j+qRzMMv4BUgUdj6QZeBHnoi1rPoar3DURX/aJwypa+VtpiIQQ+ZIHrqT3UrocxCj14stD1pKCgomFTCi9yd3rtdo53u+l2j/OtIqnFZiMfM4IuINMxuhXoWeQxizl3+XibcSNYl0zRqKrIc2+GmRLUNhdccceyPqanpwe/z891b7uO937ovex7aR9CCPx+P9FoNJ1fOBdOnDjBH//4RwB+8IMfcPHFF6ffc1qdnH/22bzw7Auk+lXcNjcTExMcPHiQaDRKOBzm9a9/PV/5ylcWzHewGPTcxRY0DCNUCK64A2m49940OqYvC2mWZddNNi5dd6X+QIJFFLZz3uxZDUJwuvQXXB5aUQSK1DPUFUzZ8oo7CGoWqjSNbfFEQetpulpsgWY4BsHGIBfKJoSUfPmSrxe8Y/Z7HHhitUwogq2+wkUxL0Q+ZgTPAZuEEOuBbuAdwJ/NOOYB4FZjD2AXEJZS9gohBhZx7vJx1+n/Ir241QRseT246+EPX9Knsr5W/QZe5trmyy+/zN/8zd+gyhTCqvCP//pFXnziCbZv3866des499zc16DPOOMM7rvvPv7qr/6KTZs28YEPfGDa+/X+Gj5712f4y3e/j3hcH+F++tOfxuv1cv311xOLxZBS8uUvf3lZ3w306GI9qCyFqiYKk9Rnxw0ceOaL1KpRbh0dQ+SpbrJx/trX4tYkvriLSzb+U0Eb/fEefUmwzX5GUUZ9Nd4aLKpGaLJAypY7bmBkvJ/owW9x7egYQWegYPUUbAzyrrqz+P7w87h7rmdnQ2Flw5VUjFohuWTtBQsfvEz8XjOorJv+wT2sWnVewT8zG8s2BFLKlBDiVuA3gAX4rpRyjxDi/cb7dwMPAq8HDgMTwF/Md+5yy5QVd13aIAAQ2Apt78vrR1x99dVcffXVjEa66Y6PYonX89arr+bTn/70rGMfffTR9OPLLruMyy67bNZ7nZ2dKIrC3XffPef5Rwb2cPElu3jPW2Z/l2effXZZ32cmVouClFYgTio1WRhDABxXkjQkbAz8dR+NXufCJyyDZqngUiV2tXAqkwAnQnrAUJ03/0sn2aj3OLCqCqECKlsedevieQdr3g3v+5eCfQ7AOQ07+P7w89QkU0TjKbzOwsUCjWnj+FAKpj6QSX2VnYmkHoMRGty/cg0BgJTyQfTOPvO1uzMeS+BDiz13pTMVVJYgpUlslsLdUCpgl8WJC7QqAlXqt0wyFadQXfRJkWB9ooY6d+GlvJssLvpskwXXG+ob7QSgoWb+HNb5wu+xow45CqpseTSkZ9Lz1AQL9hkmgVrd395r62MwmiioIQiLBN4iycg3eB2Ek7r2VGj0aFE+MxunVGRxsbClg8pSpNSlB5WZiWfmQkpJSoBSQMmMTHRDoDeQpFqYIKzh4cOELQo2tRGrpfC3Z8BezahFLbh/+kBE3/pa1XhGQT/HpMHjwJp0EUJd+OAlcnjkEA5NUl8fLNhnmJhBZU7bEEMFrqtRRcVTQMmMTOqq7Awm9W3SUCT/HleLpWIICoAZXSxEYYXnNC2JBBSKYwgsikBFNwQprTCG4NjJJwFQRHFGzgGnn2GLYDgSKejnjMQHsUrJmubibAj6PQ60RDVhRRRM2fLYZD/NSUFDdWGlGABqazZgkxLFOlpQo51Kxhi1CKoshRHQm4nNomBzNlKlaYQmsngyFomKISgAimLVu2ahFlRvKJnUXVEtBdROykQIgUVRsEpIaoXJVPb4yUcBiLgKq9lvEvC0IIUgNXm4oJ8zmhylVpXUewofrQrg99oLrmx5SBsnhpWwPFSQ62ciFIWAJlBtUQYKKAkyNHwITQi8tvlzeOcTv8dBvaoQio8U7TNnUjEEBcIGSKEVVG8obqiAWi3FS4tpVQQWKEimso7+Du4b2g1Sst/530UJtzeVLZVkZ0HzLITlBNUpS1GWuwDqqxyMJxuBwihbPnvycQYV6LOnuGvPx4tTV4qdmDVe0P2cE337AfC5CpszIpN6j51q1UYolb+0ublSMQQFwoqCJmRBl4aSKX1kVFRDYFGwFChTWXuoHRUJQqChFjyqE6aULV2WEGOxwuVjDosEHq149eT3OBhNb0LmX9nykcM/N6K/IaWlilNXNi9j1sLu53QNHQGgvrqwwoCZ+D0OnCkXfbI4SXeyUTEEeeTCCy9MP7YpFlQhZy0NfeUrX5klHLdUUlqCo4eOcvXrrsXhcPDFL35xzmOllLz2ta9lbEzXqPd4PIAeBPfWt7510Z9pVQQaggTkJDr39a9/ne9973vzHtMWaNPjyiVYROGjOmFqE9JuHSxoBzOiaFRR+LV0E7/XzoCxCVkIZcvahLE8IwU2S5HqylnHkBUGxwonrx0a1aVdAvWbC/YZM/F7HEQ1OwMK7O7Jr8v3YqkYgjzy1FNPpR/bFCsqgpQ6fZS5FEOgqtk9P1KaSk2Nj6985asLqos++OCD7Ny5k+rq6mmvt7S05BbxrCSIKSoSFq1AmkqleN/73sddd90173FbPGsASfNENe9a+y9FCbzyelfh0iSKbaxgSw6JuC5rXKXUFOT62ahz20k6hwumbKlNDIKU2Eav4N6r7i1KXQXcTSSFYCJaOO3+wcl+AFY1F8e7C0C1H+OAdwgpBH/1SGE1r+bilDYEHf0d3PvyvXn74c1R9qOPPsqbr/tzPvoXH+WKC8/i7Te+HSkld911Fz09PVx++eVcfvnlADz00ENccMEFsySk161bx5133snFF1/Mj3/8Yy677DI+8pGPcOGFF7Jt2zaeffZZVKkS8Ndx/q5d2Gzzbxj/53/+J9dff/2s1zs7O9m2bRsA3//+93nLW97CNddcw6ZNm/jEJz6RPs4s57WvuYSPve9jTEQnkFLyT3f+05wy23/3d3/Ha17zGr761a/idrtZt27dvEFux08+AUJQE95SNM0VoSj4pKDHHeb5UEdBPmNwSF+jr7IXbwPSalHw1BzHlPPKt9Dd0fFumlVokG8uWl01VetJXHp5oGCd5XB8CJ+q0VRTt/DBeWJU2z+lFltgQcK5KEI2k+LzuWc/x/7h/fMeE01EOTByAIlEINhSuwWP3TPn8afXnc4nz/vkosvw0kt7+NkffkZjUyPvesO7eOSxR/jwhz/Ml770JX7/+9/j9/sZHBzk05/+NL/97W+pqqric5/7HF/60pfSstVOpzOtNnr33XczPj7OU089xeOPP8773vc+/uf3P0IiiKkLBw09+eSTfOtb31rwuI6ODl544QUcDgdbtmzhtttuw+VypcsZ1VQ+94VPcd/d9/HBj3+A2269jc/98+eA2TLbo6OjPPbYY+lrt7W18Yc//IHzzssePXms73kABuMbqPcUNk2gSUd/B/0KaPYU3z70CS7Y+J28d2yPH9fF/uKOwkZJz6RWOZ1hHkQWQOjuWDJMY8qB5inevkfYpn9WqOrFgkl5d8kwIDg5sY8Gb36vPRc7/efwaOj/A6FiEUpJFEhP2RlBJBlJW2GJJJLMrx/5WecEaWppQlEUtmzbwsEjB2cd8/TTT7N3714uuugigsFgWkLa5O1vf/u042+88UYALr30UsJjYQbGxkgJfYkmOZe0tsHw8DBer3fBcl9xxRX4fD6cTidnnnkmx48fn1bOKy++hJ//8Jf0nOyh3lrFM088M6fM9szyNzY20tMzt6bgseEDKFLSHd+Mv0gdTHuoHU0AAlSZ/03Pjv4OPnfovwB4OPlUUaf9Lc4zODPuxSVlXjtNNZXgOCrORA3+IhlsgJPmgKdAUt4d/R3styQIWwR/9XDxksS0NZ8FJ3WNpht8Z5ZEgfRVOSNYzMi9o7+Dmx+6maSWxKbY+Owln81rBbicU5GJFosFS5agLyklV155JT/4wQ+yXqOqavrmYqb2iZQy/VxKSWKBAC+r1YqmaSjK/LY/Uw7bYrGQSqWmlXMyqXI4NIbi7CE+OckHP/hB2tvbs8pszyx/LBbD5Zrbj95cbtgvq4rWwZjKlqrUEAXYoG4PtaNKfY/H1LcvVkP3exzEBmqZdEY407cxb9ft6d1NXBEkYo2sLuKM4JJ1V3PvgR8AAmsBJKKnckaIoiaJ8XvsRCa206D9F9ZEAVPAzsMpOyMINga556p7uPWsWwsyxbQqVhQkNk1QZfXiMPSHvF4vESOK9fzzz+fJJ5/k8GE9mMmUkJ6LH/3oRwA88cQT+Hw+vNX6CF8IgV2Zv0Fu2bKFo0eXpmWSWU6rIpiYnOTEkWOMT+p+z4uV2T548GB6PyIbexOjSGx4q7tw2ooTLR1sDPLuurNBCHaof5b3+0DXt9cllIudeMTvcTAZ1yNk8xlU9siRBwDoVr00eIs3Izi7uY06DZriNj551lfyXlfnNJylPyhykhh90KPg1wSheGGiwBfiVTkjWCzBxmBBLb4NgcJ0CYhbbrmFa6+9lubmZn7/+9/z/e9/nxtvvHGahPTmzdld12pra7nwwgsZGxvjW3d/HYBIKMyfXv02ImMRFEXhK1/5Cnv37p3lHfSGN7yBRx99lNNOOy3n79HQ0DCtnLGkyl//3Qc4c+NGbr755kXLbD/55JP84z/+Y9b3nu9t56SiARJavkVH/66ijZzPadjB94Z345rIv9dQsDHIWZqXvXKUT1/6jaJO++s9dnbHDWXLoQO0tp6/7Gt29Hfw1eO6RmR/4DliylEg93tqqazCRkLTqFXyL9WxxuoFIdiUCnDH679YtLpy2ix4HFZqtdIFlZ3ShiDfmB4/pqx05+A+kkLjc1/6CjWGkuZtt93Gbbfdlj7nta99Lc8999ysa3V2ds567U//9E/513/9VwDGJwbpnAixtmkd3V3dC5btpptu4t3vfjc33XTTtLJmCtu9973v5b3vfW/6nF/+8pdZy7m3ZwyXrZskGp/+9KcXlNkGeOGFF9i6dSt+f3bPmd8dfkAPUAIocBaqmZjKlqnEyQWOXBpSTdCoKVyyuribgA3Tgsryo2zZHmpPBxNKoTKQ3AtclZdrL4aA1cNedaQgMR+Dw/psPGjdUfR1er/Hjke6OK6NFfVzTU7ZpaFiYBMWVCTJAugNJVJ6Q7BaF7dG29zczM0335wOKFsOVotAQSGXONzBwUH++Z//ec73/eZmtwSlSMFkJmZQmSoLI/o1Spwq1Va05S4Tvzf/ypZtgTaEEfSHtNLWlHuypeXQ5Kxj2AqDkfwHlXUbUcXVntULHJl//B4HNtVLvyLR1MJFuM9FxRAUEJtiRRWC1BwBYbnw6KOP0tY21TmaXkI2y+JdEm+44YZZS0ZLwaoIkBZUQF3AW8nkyiuvZN26dXO+L8YHAXCMXsrFVX9f1BFZTc167FIilVEmEvlvhCOKilsrjqxxJn6Pg3GtBo+mEZroz8s1g41BqqTkNFnFxImbuLD17Lxcd7E0ewLEFMHQ6Im8X7t7RPfYq/cVNklRNvweB2qyhpQQDA8XXsRvJssyBEKIOiHEw0KIQ8b/2izHrBZC/F4IsU8IsUcI8X8y3vuUEKJbCNFh/L1+OeUppGjYUrBZ9CAvbRF+/rmS0pIIwGYr3madiZ6pTB/dplLLG5mZdXZsrJNaTTLY93o212xfdhlzQSgKDSqotihDeVa2TCVjjCgClyiOrHEmZiyGX8ufsuXI8BGiimCnshFtci31VcW9/wJefbQ+PpZ/Ib1QpBeApsCZeb/2QtR77ETiehBbaHBv0T9/uTOC24FHpJSbgEeM5zNJAX8tpTwDOB/4kBAi85f+spQyaPwtOVOZ0+lkaGiorIyBmalMK4B2f0qqWKTEuoA7aCGwKoKUZmYqW7ohkFIyNDSE0+nkaHyY9Rgdl7d4LokmDUJXthzI89rz0PBBpBC4LcWLVDWpr9J/xzrpyNsm5NGTTxiP1uNz2bBbi3v/BWp1N9jJyeMLHJk7g7EhPKpGc11j3q+9EH6Pg/4JfWO/b6SwkujZWO5m8fXAZcbj+4BHgWlO/FLKXqDXeBwRQuwDVgF5NXutra10dXUxMFCgZN1LIJmcZCA+wog2QnRwNK/XHoz0oiFJeRSUIuRWzSQSSzIem0SzRolZw7idg0u+ltPppHXVKo7JGJdYWwCKGqRk0mDx8LJ1KO96Q4PGNL/KWTxZYxOnzYLXacUj3eyX+XFLPGbIcIS1LUUL+sukqV7XAEok5w5MXCojqTFqNFGS+8/vdTCU0PNZh8byv+y1EMs1BAGjo0dK2SuEmNeUCiHWAWcBz2S8fKsQ4t1AO/rMIescVghxC3ALwJo1a2a9b7PZWL++OFmtFktkrJs//9l72DVyGvd+5Gd5vfZ1996AJ+Hgvz7wXFGSbGfy4/aT/MMD+7Gf/s9c4Gzmg5d/fllr+sPDhxlVFPz2VUBpDEHAWc+jcpiBPCtb9o7o3jrVVcXfgATdc2hCOuhXoL3nGdpadi3rekfDR3Fqkq7YWvye4iREyqTevwVFSpJy6YOPuRiRMapSVupLYOAaPHZG1EZ8UvLQyF7O7O8o6j7ZgvM6IcRvhRCvZPmbrWA2/3U8wH8DH5FSmq4r3wQ2AkH0WcO/zXW+lPLbUso2KWVbQ0NDLh9dMjyeZlyaJClG8r5kNaxouKS76EYA9NFL0qmrT/4x1rtsZUszPaXLobtxNpTAELR4dWXLweEjeb1uz4juklpfW5wUlTNxV3fxvD0EQvD+Rz64bNmEYxMh1mFhcFzDX8RgMhObzU2dJkkoYySXkQ88GyMihUtzYitS8qBM/B4HwtWNCuxODOZdLXYhFvzGUsrXSSm3Zfn7ORASQjQDGP+zuiYIIWzoRuA/pZQ/zbh2SEqpSik14B4guxrZCkUoCtWaoNsV5qmu3Xm7bjwWZsyi4KT4G5AA/ioHVvdR8qVs+djJRwHolnqkdCn2CFp8eiKSp4f/K68NsM/cgGw8PW/XzAnnEbQ8KlvuV8fRLA4GEwdKYrABqqSFHtc4T5zIn9aQ1DSGLOCScwtPFpJ6T37bVK4s1/Q9ALzHePwe4OczDxD6kPU7wD4p5ZdmvJe5cPpm4JVllqes6OjvoN8CIXuKDz/6/rx1MKassdtaPFnjTPxeO6mJDfrNs8xw/I7+Dv7DSE/5y7H/wO09idte/DhHU9nyFfXZvI7GBuPD1Kgajb7SGO217u0Iw8NrucqWz5x8nEFFckhOIpu/RcpWuLwAc9HR38FJi2TApvLxJ5Y/wzEZGztBUgicyizHx6Lg9+SvTS2F5RqCzwJXCiEOAVcazxFCtAghTA+gi4B3Aa/N4ib6eSHEy0KIl4DLgY8uszxlRXuoHWkoW6byaOGfOvkoAJOO0ozI6qscaJNrOVutWbayZWZ6SpUUVb78e4MshkIpWx5PhUEqDCTm1pAqJJtrtiMNZcu3+c5Y1rrz74z0lBJApAjL+aXeC8GUWqzIa5v6w7GHAIjZiysVbuJxWLEl19OmNmBBcs+V3y6vPYL5kFIOSSmvkFJuMv4PG6/3SClfbzx+QkoppJQ7ZrqJSinfJaXcbrz3JnPj+dWCqWyJlHlLvdjR38G/HtRljZ8Uz5Qkm5HdquBz2WiUfiYVwRnVS9+kT0eqAkJa8FuL78MNurIlUuZ1NNbR38E+S5xRC/zd0x8qSV35vbqypVOTy1a2NNNTCgRIKzv95+SjiDmRblPkLwK9o7+DO17+JgDP2l4uST0JoXsr+bUAqhCstS0/8DMXKpHFBSTYGOTtviAIwVvqb8mLhW8PtZMyZI01Q9a4FNR77EitHoD+gaV7Am/xrEEi2eVooi5yG6vdxUsRmMnZzW3UqtCcsOdNjXZK1rh4Cd5nogd8KTRKseygMm1iECEl1zT/ORMnbtJ19ItMsDHIXzRcDMAbPW/PY5vSI8pL2ab8HjsJ1RAJzKNa7GKoGIICc37jTgCc4/nxT8+UNbYWWZMnE7/HwURyStlyqZjpKd+26lLGRltL4oli0iytVKsqZ9btyMv1zvYH9QclWPM1aTA23v04CKWiy7rW0fFuWjXB2TU3ok2uLUkcAcCFLbq+kXMiPxH76TYFWERp6gn0NjUa1z3wQ0UOKqsYggLTXK+7DYbHO/NyvWBjkDaqcWuSj+/8ckmyGYHu4jkQawKWp2xppqdc03g2IxOJksQQmNQLNxFriqE8Ge01Ng8IwfpEY0FyXiwG8/esEW5Cy4xwP5YMs97qSSt/lqqumup1D6xILD9CesHGIBcrDdg0jVvPKJ789Ez8Hgc944ZabLi4e2UVQ1BgTGXLiUT+IiG1VJxAUuH8luIKfmXi99jpjBqGYBnKlkeN9JTeujak1ANrSkW9vZZhKwyE8xNUNjikbxBvYVtJOxcAN9UMKHqayaWgphJ0CpX1rgCD0QReh7XoaqomjQ36PtJEMo9qsakYDSnBuSVY7jLxe+0cjTZgkZK+8eJul1YMQYGpqVmPXZOMq0N5u+YwcVyqraTLKH6Pg9CkB48mCU0uXdny2Hg3qzRBOOlMX7dUNLgaiSmC3sHOvFxvIKxfp8q9Ki/XWwpVDisumwUr9ctStuzp3U1CCDbUnsZANF7Se8/h9FGjakzI0bxdc1ibwKNaSnr/+T0OkpqFBg1Csfz1F4uhYggKjFAU/BpMkL+EE8NCxaG68DpKl1fIVLZslMtTtjyWMJcb9JFqSfcIfLp0SW9/fsJZQmN6VLHPW3xZ40zqPXZUzVh7XqKy5bEeXRVmfWOQwUi8ZPsDJvWahXGRv2xeIyRxpOwlkZcwMdtUAzZCyeImqKkYgiJQp9kYV/Kz3JBMTjBiUbDL6pLIS5iYHYFfOAilluaWqKYSHFVUolY7LxhiZqUcka3x6/s5w+H8yEz0hPXMcfV1JYoqNvB7HIwlAwCERpb23Z7sfRqA8ap6BqPxktYTQB1OIpYEmrZ86RapaQwqYNeqcFhLs9wFU22qTnETUvOfgW0+KoagCNQpVYStqbwkPRky1p0doviyxpmYI/daxUNILi45zUwe2X8/KSF4ITnMfcduR3EdL2oy9JmsbdL3c0Yn8pOycmByCK+q0VhbmghwE7/HQe+kruzatwRly47+Dn4U3gNS8tE/3sFA8mBJ6wmgVvEyatUYmVi+xPv4eIiYInBQs/yCLQNTsqNaVBMSGlLLr5bSfFQMQRGotdYybBX0h5cX0ANTssZOe2DZ11oO5k0bx8GAoWyZK4+d+C2gZz1UZQqn9xhV9tKNyExly0gyP9m8BpNj+FSRduEsFQ1eO8ejdVik5OHRvTkHTLWH2lElIARJLUnMcrD0MwKHn7BFoWdo+XU1YLg/OyylN9gA48LBpCL44/HfFu2zK4agCKzSUiSFwPPNdfDlbfDS/Uu+1oDhVuZ2lkbW2KTeY0dxHecP9C5Z2dKT0JfLFBQEVqo5vaTLXbZ9v6Re1fAmXll2PQEMa5NUpawl7zTrqxyMakfREOxODOWspaT71etLMFZhJTWxoeTfabWmz0Kr/99Zy66rQWO5zOVoyUvZlorPZcPmPsFjUtdwuu2J24sW5VwxBIXmpfvZNPgyAN+q8dIRC8EvPrzkG7ffcNWs9m3MWxGXgttuxeXtREWfvi5Fnyc2OYRXk9x29m1sTP01TY4SrqW/dD/84sN4VZXdDsey6wlgmBSOlKPknabfY0dxH8VcTc+1rtZY9XiIS6rW8Ldnf7WkwWSA3qZ69Rno93yeZdfVgLFcVlW1Ll8lXBKKIvDUHE+3qWJGo1cMQaF55E4iQq/YH1V7ubmpkQ5FhUfuXNLlesd6EVLS6N+Sz1IuCZ84HUXqnktLUbY8Fh9ms3By0/abiI6tIlBdwg7zkTvpUFQ67TZO2KzLridT1timeagqoXcX6Ps5qYkNKIIlRTmb+SL+bM01+ISeMyJQXRpxNgAeuZMwuszKT72eZddV35g+uKqr25y3Ii6VOuWMdJtSEEWLcq4YgkIT7qLXagEpkUKQFIJ2pxPCSwvCCk0OUaNKAjXFFaXKRpNjC5uT7wPgbdU5KltKyTEZY73T0CuKxGn0lrBzCXfR7nQaypqCxDLrKRw+TlKUfgMS9LVnbXItr7E0oSxB2dJMT7l+1S76jVSejaU02uEujttseWtTveMDODRJY21pl1sBVrnPoGXigyAl17nXFS0QsWIICo2vlQsnY1jAULeU+FQVfK1LulxnchSJwpgsfoLrmfg9DsKR7bg0iSWZ20b48MgRRhWFDdXriCVVRieSpZ0R+Fppi8WwG3UkgR6rhY76pdXTE8d+A0CsRFLhmZhLU6stq9CEYI3Nm9P5ZnrK5qazCY3FEKK0br74WtkVi03l2V1mmzocH8QmJROW4udXmInfY2dsbCN+DcQS3bKXQsUQFJor7iCoWbhteBQAVQg+X19Hx/nvy/lSHf0d7FF0WePPd3y0JHK5mdR7HAxPJAlIQSieW3J0c7lhvX8bA+Yos5QzAqOe7u3r57REEgn8t9fDzT5bzr9zR38Hd7zyLf2xM3cvnXxjrudbFEMSJEdlSzM9pWKx0h+JU19lL0k6xzRGXX1kaASkXHab2i0jRBWFr+39eBnUlYPBaJyAsBJKFC+obFm1KYSoE0I8LIQ4ZPzPmt5HCNFpJKDpEEK053r+imbHDXDdXUQVIwWeECQVhXZP7ks702SNZWlkjTNp8NgZHk/QqDgJJXOL8jTTU8aq/OWx3GDU0xlWPxdO6t5MmhAkkTn/zpmyxlKUTtbYxOeyYbMIkhiCZjkqW5rpKTv6OxiIxEprsCFdV6NWY2YjBIlltSlKKhWeid9jJ57SaLS4CZnJkorAcs367cAjUspNwCPG87m43EhKk7n7kcv5K5cdN/Cc/58QxmRWLHETqBxkjTPxex1oEhqsHkJy8YE9mekpb3/h33iuR1cgLYcO5uR7nuObo5+ckvpWcpf6zkyeUkpZYxMhBPVVDsIpfQ08F2XLzPSUNz90M8fH95XWYJvsuIEXG/853aYUWNLvnHaNlWC3lL6uzCW3OquPkFg5AWXXA/cZj+8D/qTI568YNni3Ins/QLNU8Kgaz/Y8nfM0dI21CoRgbbx0ssaZpCWOrbU5KVtmpqdMaSleGjIMQRl0MA3Gxup17mtBCLY5cg8yCjYGucSiyxq/b+NnS15PoCtb9sYDWKQklIOy5e8OTaWnTGpJhlJ7aSxxVLHJJt824iffz1psOFSNp7ufzLlNbfGsASFYHaspqzZVba0nogjGo31F+dzlGoKAmV7S+N84x3ESeEgIsVsIccsSzl/x+D0OIuFW3tJyGaMW+PqL38g5sGdgWJeXOE3bWvIbFqC+Sl979lgbUIVIy18sRGZ6Sptio0rbjFUR1LlLG4ELUO2yYrMIJuwXIiTsHu/mpoduyrmD0ZK6rHFbU+mkwjOpr3IwNCFzVrasTerGXUFgVWyMjawpretoBvUeO/Hx1bx5zesZtwj+/aW7c25Tg0P7ANiQ2lgebcrYz3FaDW2oZWT/y4UFDYEQ4rdCiFey/F2fw+dcJKU8G7gW+JAQ4tJcCyqEuEUI0S6EaB8YGMj19JJjWvpo9WnmTDTnwJ6B0U4AqlxL847IN6bekNVqbEIO7lvUeZnpKe+56h5kfB0NXgeKUrqoYhNzGeXY+Msg0JPZq4mc145NWeNymOWAfv8NROIEhJ1QMrLo88z0lB/YfgtfuPgbpCbXls2MwGxTg46mpbepYTOquLkQRcwZU7oFRS9P/xJlw3NlQUMgpXydlHJblr+fAyEhRDOA8T+r8IeUssf43w/8DDjPeGtR5xvnfltK2SalbGtoaMjlO5YFpqVf7z0LqzB/donP7lv0NfpNWeMSRxWbmCPDBLre/mI3ITPTUwYbg4TGYjSWySgTIFDtQMQ2Yrc4DFdSSU+0J6eR5jBJnClH2YyeA9WGIbBVEVIXr4Rrpqd8/9m30mDTgxjLpa7M37bFtR2rorcpKXNrUwNj+n6Jp8RRxSb1HgcWRTCumfs5xXFpXe7S0APAe4zH7wF+PvMAIUSVEMJrPgauAl5Z7PmvFky1xhplE38dvE13e5Man3/u84vuYHojepYzf33po4oBPA4rHoeVUXMTMrI41U4zPeX6Zn1jbiASL5tRJugdTCS8inuvupftjgbdlfTgTxa97CA1jSEFbGoVnhJHFZs0+ZykNEm9tYaQkItWtjTTUwL0R3QDUi51ZRoCDxv5xDkfBynRyK1NpaOKazcVqpg5YVEEDR4H/Ql91h+Kdhflc5drCD4LXCmEOARcaTxHCNEihHjQOCYAPCGEeBF4FviVlPLX853/aqTZp9+0fWMxYgpgiKslclh2CE0MUa1qNNfWF6qYOdPkc9Iz4c9J2dJMT7m29UIAQmOx0gaTzaDZ56RvLEawMciFG19vdDBy0csO0WgvMUVgFzWFL+wiaTI6zQnFuWhlSzM95QaXsV49prv5lsssp8lsU+E441o8LViYS5vqjfRjlZLG+vKYZYP+vfrGrXg1yaNjR4sS27AsQyClHJJSXiGl3GT8HzZe75FSvt54fFRKudP42yql/MxC578aafA4UAT0hWO0BdpwKHqIvEAu2mXNlDUul3Vn0DuYzvH9OSlbmukpHU4f8ZTKyESy9K6jGQR8TiKxFOPxFBevuxKLUHRXUmFZVF2ZssZOa2lljTNp8jlRXMf51aS+ob8YZUszPeX6Wl1fqH+stEnrZ+JxWPE6rPSFJ2kLtGFX7Dm3qYH4CLWqJOBzFbi0i6ep2snx8b1EheBldSznDfClUIksLhJWi0KD10FvWB9p3nv1dzlNcWLVNJ46+diiKtqUNS6nTrPJ52QgtScnZcujGcsNZlRxuc0IgPSs4F+DHwUhOM1StajzB0ePAuB2lC5X8UyafE6s7qO62y6LC5461qNnJVtveNOEIjHqq+zYreXTbTRlzN7uvfo7nGnxIjSNJzofXlSbGlKjeFOWspnlgP6dRtR9SMN3YinKvrlSPjV6CtDkcxEa09dZg41Bbtz0NuKK4O5X7l2U1ddljZ0lzw6VSVO1k7GRtYtWtlRTCY4JPT1lR3/HVFRxGRk3s1MIhfW6am4+CwXYkxhelCtpvxGw5fWsK2Apc8Nf5YDJjSi66tWilC2fNKSex6sMYcCxeFnde2AaAv0eCjYGeefW95BSBN/e9x+La1MygTtlK5t9D9C/0/jYOj0oUcqiBI9WDEERaa520hue8tgIu+sW7fY2JWtchdNWuixeMwn4nCQn1nClfdWilC0f2f+jdHrKmx+6mWd7yieYzMRcTzfrSpchELqUgRpfcHTWO2bkKq4vvayxiaII/LbNnG37+KKULWemp9SNdqysRs6gG+2+8JQUQ8imb84v1pV0SKjYVBe1ZRDDYtJU7USbXMu1jvUgBP9+2VcKHuNQMQRFpMnnpC/DEJzbfC42Re/UpdTmdXsbHT1GSoiS5yqeSbPRMWxwrF6UsuVjJx4BphrqiwO7gfLZgISMTUhj9tYWaMNhsetGW0JPZH5X0j5D1riprvSyxpk0+ZzEJzbSsAhly5npKdtD7fSFy2tTH/RlvIFInJSqe0G1BdqwicW1qUQ8wphFwYGvLGJYTMz7b51zvf5cznd0fqgYgiLS5HMSjaeIxPQ0e8HGIJ9o+0TaK2U+tzczqthlL6/ga/OmtZlBZQsoW2amp7QpNlzaFuxWJR2lXA647VaqndZpy3j3XHUvbVWrQcBPDs3vSjoQH6VWlbTULm5PoViYA5GAsC2obJmZntKm2Aj6z2EgGqe5jDZVQR9AaBIGo3oEdLAxyO3n/S1I0KTk8899bs56GjQ39ZXy8cKDqRmpEHrqzD6jnIWkYgiKiLkJaXYwAFF1IsPtbe5lh2e6nwIg6SqvEZk5kk+h37QLBZXFJofwqnp6ynuuuofkxBqafc6S5irORpNv+jJesDHIrtPekA4wm2/Z4aQaIYHCqFqcqNDFoi+jxAhYF1a2NNNTXlq1hnuuuoeAYwtSQktN+czcIHMZb+r7jCUjune2mN+V9KkTjwKQcJXZdzL6iRhGLMFo4YPKKoagiMxcewamub0xh9tbR38HX+p8AIAn+H3JNdMz0bXpBWPaGmBhZctj8WE2K3p6ymBjkN7RybSBLCcyN/ZNzl91UToqfK7UnB39HRyxqAxb4e+e/lBZ1VWzz8l4QsVvq1lQ2dLMF3Hjmmv0ejI3zstsRtCUZXDVFmhLR4XP16b+5eD/B8Az1ufKqp6cNgs1bhuDScMQRJaWeS0XKoagiJiNaOZI896rv8MOWw1IyWNHHpx1U+pqnXrD1Si9vn0miiJo9DoJTTZiXUDZUmoaR2U8nZ4S9N+ipcw6F4Cmase0/RzQ6+qrF/0LipS0Yst63rScEWWgb5+JOXvz2RZWtjyakZ4SpkbcZTcjSAeVzWhTV93LuY5GNCn57YGfZm1TKannPS63NgX6oLF3wo1Xk4Qm5lTeyRsVQ1BETM+YbB3Mu3fcggZ85+APZq0/twXaEGl9/NJrps+kyeekN6IuqGw5MnqUsCLYUL0OAFWT9I3FaC6zzgX0hjgQjZNUp4+cq6tbEUJwVB3npt/85awOZnvNJj1qvExyRmRizkgXo2x5LCM9JUDPaHnOCOrc+oy0d2x2m3rXWbcCcN/Rn2VtU+mcEyL3nBOFJr2Mh4VQYrTgn1cxBEXEabNQV2VPe6NkcpJEhu779HXNYGOQbaqLahU+c/7Xy0IuN5Mmn1OXiVDmV7bMTE8JejCZqsmy61xAXxqScirgzWSaK6k2e/25WeoeK5vU1rLQt88k/Tsrxn7O8Nyy4ZnpKUGfEVQ7rVSViXaSiaIIAtXOdMxHJkeSw3NKuQQbg5wjq3Frkr8/566yqieYkjkJKE5Cqdyy/y2FiiEoMk3VzlkzAjDd3gwf6CwKiqoWpylh5fJ15xalnLnQZMRHBKyeeZUtzeWGDa0XANBTpssNAE0+ffbWO6Ou0uvP6PXUFT4xbaTZP6xvlp9lP6/sOhdzRjqhLbwJeUwdZ72tJv28ZzRGS035GWyYuv9mou+/mYZrdpvSUnEaUwqvWVteswHQZwSD0TgBu4+Qkfa0kFQMQZFp9mW/aYONQf52Hre3YZHCrTnKKpjMpNnnZDJpbkLOrWz57PBerJokZPhs95bpcgNAU7VepmzLePdcdQ+X1p4BQvDTI9OXHbqH9c61vmZDUcu7GMwZab+5CRntyXrc5MQw3Ypk2Ij+Bn1GUI6b+jAlMzET3ZX07xASNKnxuRltaoQ4VSlbWbkumzT7nEgJNbY6hhRIxgs7K6gYgiIT8E2PhMwknBzL6vYmNY1hBdzMH6xVKlpr9U5zXOjKlk8df3jWMR39HTwU7yElBLf89v109HdMbUCWoSFYZXyn7tHZgVfBxiDBtVdmjQrvHtU9PJr9pxetrLnQWuuia8yiK1tGsitbPrT3v0AIno33pY1cbzhGc5nOCFpr3fSMTqJpsyOvwomwkWBodlT4sKLilu6yc10G/TsBhKUdKQSPHflFQT+vYgiKzKoaFyMTScbjs6d7mW5vmclQIpFu4orAbaktQYkXprXWjeI6zi8n9cCXDz/xt1m9NDSJnvHL6Dh7RmO47RaqXeW17gzgc9modlo5OZzdaJ/bfG7alTRzKa9/oh+blKxpPq1oZc2F1loXRyN7iArBK3MoWz7R/QQwZeT+2PMsw+MJWsp0RtBa6yKpSkKROZaHLI6pqHCjTaWSMUYVgUssPolNMWmtdaG4jvPziZcA+GT73IFx+aBiCIrM6jrd0neNzO5gTLe3bQ7/tGQoT3T+BgCvo7yiik1aa10LKltur9kM+jZr2pvGXG4oxxEZ6AauayS7FEOwMcjfnPOxWclQhhKj1KYkq8osqtiktdbNYGrvvMqWzsQkSIlF6NHf66p2AOW5hAdTM9L52lTQ3QRiqk394civkELgsZVXVLFJc42pFqsvsyZlYV2RK4agyKw2btqTw3N3MDOToTzZrcsB13nLS7vGxOeyYU9umlfZ0jcxCkJwTe32tDdNz+hk2W5AgrGMkqVzMZmQyVnJUEa1CbyqpexUOk1aa13Eo+vnVbacjI/QqAluPUuP/q4W+uymXOvKXEaZz2hfsOEN09rUE12PA+BztxStnLngsFrwidMR6LNlC9kDGPPFsgyBEKJOCPGwEOKQ8X/W2oUQYosQoiPjb0wI8RHjvU8JIboz3nv9csqzEjBnBCfnuGkBLll31bRkKJ6E3tk015dHOr2ZCCFodZ/B6fKjICVvzKJsaaanvOnMd6XfOzE8kf49ypHVdW66RiaRMrvqV7ZkKCMk8Gh63tlypLXWhTa5lqvsurLlN17zpdl1lQxzutWTjv4+YQxaVteVqyEwZgRzLOMBXLjmsmltypfUBy2BmvVFKeNSWFt1JmviH8WmSa5wBArqhbbcGcHtwCNSyk3AI8bzaUgpD0gpg1LKIHAOMIGewN7ky+b7UsoHZ57/aqO+yo7LZplz7Rn0Ecy/BP+PkQzFw9D4IAAbVm0rVjFzprXWxejoOkPZcraHw8z0lJFYkpGJJGvK2BC01rqYTKoMjyeyvm9GhZ9hJkM5/lsGFA2PKM9lIZgaPbda1wLQJKcbrHR6SndT+rUTwxNYFVG2S0NOmwW/xzHv7C3YGORL5/0DAGuFk4FICIDVgfLI/52N1loXIyOraJUKWnJ+bajlslxDcD1wn/H4PuBPFjj+CuCIlHJ+QZpXMUIIY8lhfhngluZzjGQoQzycPIxdk2xqWVeUMi6F1lo33SOTcypbZqanBNKGsLwNwdz7OSbBxiDvPPOdejKUvfcxYVFQbeW5qQq6swJACkMtdoayZTo9Zc1UDt+TwxO01rrKdpYDxjJeFg+vTOrqN6MIwcFUmAcmXwYp2bxme5FKmDuttW49PsdS+KCy5RqCgJSyF8D4v9Bu5juAH8x47VYhxEtCiO9mW1oyEULcIoRoF0K0DwwMLK/UJWZ1nZuT83QuMD2CVUPikho195wDL91fpFLmRmuti0g8RYPFnTWo7GgyzAYjPSUwtdxQW86GYO5NyEz67Y60KymAM3GsbOupymGlrspOOGlIHM8IKjPTU24IBNOvnSzzJTxYeD8HMDZbjTYlNZxSsvY/X1O2ddVa60LVJPUWDyGZfVaaLxY0BEKI3wohXsnyd30uHySEsANvAn6c8fI3gY1AEOgF/m2u86WU35ZStkkp2xoaGnL56LJjda2LruGJOdeewUiGIiy6z5sQ2KSkIxaCX3y4LG9cc/Rca6mepWxppqeMZAQomZvl5TwjWJU2BPOPNNuiY9iYqsvmZKxs6wn0++/khCEzEZ2ubGmmp4y6p7xpyn0vB/TBVc/oJGqWWAKTtkAb9ow25dAkL5ZxmzJ/82qllkEFUsm5o/aXy4KGQEr5Oinltix/PwdCQohmAOP/fDJ51wLPSylDGdcOSSlVKaUG3AOct7yvszJYXecmEk8RnkzOeUywMcg94SRtk3rlD1os3NzUSIeiwiN3Fquoi8YcPbuVOqKKIBqZUiGdmZ6yo7+DkyMTVDut+NzZVTzLgWqnDZ/LtuBIM/j0d7l9cNiQPYb/9nrKtp5AN9qdYfssZcts6SlXwl4OTMUS9GeJJTAx29QFE3p9hi3KimhTdqUOVQiG5tGGWi7LXRp6AHiP8fg9wM/nOfZGZiwLmUbE4M3AK8ssz4pgsUsOwaEudsXj6RFMUgjanU4IF16fPFfMJR4h/QD0D04pW85MT9keaufE8ARr6su7cwHdU+b4HK6+acJdjFksmCvoqTKuJzCWUYYndWXLeDj9erb0lCthLwemZqTHh+avq+BQF23xxIpoU80+F4qAlKqvgIQG9xXss5ZrCD4LXCmEOARcaTxHCNEihEh7AAkh3Mb7P51x/ueFEC8LIV4CLgc+uszyrAjMKd9CNy2+Vs6fjOGQEouU2KSkLRYDX2sRSpkbPreNuio70aS+TZSZXm9mesq2QJu+3FDG+wMm6/0ejg1G5z/I10pbbKqe7GVcTwDr/VUkVI0G4SCkTm1CzkxPadYTlPdeDsAGv+6pdWxwgU1VXyvnxVZGm7JbFVpr3QzHjY39kSMF+6xlGQIp5ZCU8gop5Sbj/7Dxeo+U8vUZx01IKeullOEZ579LSrldSrlDSvkmc+P51c5646Y9OrBAB3PFHWxPWbi3r59bR8Lc09dPULPAFXcUoZS5s8FfRfe4oXUf7ky/HpscwqtNpafc7t9J1/Bk2Y8yQf9OXSOTxJLq3AddcQdBzcI9K6WeGvRNe5/wTlO2nJmeUo8h0DvWcq+rlhoXdquyqDa1Q11BbaqhiqNjRpuKnCjY51Qii0uA225lVY2LowuNXnbcwNNb/xH/ZDV/GY4QdAbgurtgxw3FKWiObGioYu+QMY3NULY8Fh9ms5hKT9k1MkFC1djY4JnrUmXDhoYqpFxg9rbjBrjuLpoSvhVTTwBOfAxZRFrZcmZ6SoAj/eP4Pfay3ssBsCiC9fVVHB1YuE29EPynldOm/B72DHmxS0loPLTwCUukYghKxIaGKo4sNHoBfmd/DVfKbyDvGIGPvlK2NyzoI83ecSteTfKYoWxppqfckJGe0vzeGxvLN/DKxDRWC400J0//Uy6IfZW7Ln6u7OupvspOtdPKkKp37o8e1rf20vkiVp2fPvbIQDQ9gyh3NjRULTy4Ah53XM6lybuI//1Q2dfVhoYqJpOSGk3w1ER3wYTnKoagRGxs8HCkPzqvCynA4f4oGxqqUMo4mMdkg78KxXXcULaM6OJeRx8krAjWG+kpQf9OwIqYEawzl/EW6GCODkaREk5rLP/vJISgJdDPk8p+AG7f/QU6+jvS6Smbms4CdFXVwwPRFVFPoHeaJ4YnSKSy58MwOTwQZXWduyxze8xkQ4PepgYUOKhNZlWLzQcVQ1AiNjZUMZ5QCY3F5z3uyIpqiB6s7qNpj/qkluR3R34FTKWnhKnlhhp3+SUEmYnHYSVQ7Vhw9nbEWJJYCbMcAFf1MbQZypZHJ/qmpaccHk8wOpFcEcYN9GUUVZPpDe65ONK/ctrUxsw2JbKrxeaDiiEoEeaNOF8HM5lQ6R6dXDENcU2dGzm5Ub+pDGXLaiMIxkxPCfqIbKUsN4DewSy09ny4P4oiYF39yjAE2+rPBjld2bJTnZiWnnJq5rYyvpO59zHfMp6qSY4Ojq+YNtXodWBLnIZiqMVaFWtBVEgrhqBEbGxceO3ZXG5YKaMXu1VhtfsMzk6sAiH4+mv+jd5oz7T0lFJKDq+gERnoo/yFlvGOrKDlBoCLWs9h/MRNurKlvZEtnjWz0lOmZzkrpK7MwcWh/rnbVPfIJImUtmKMmxCCjb5tnBVfB0Lwb7v+b0FUSCuGoEQ0eh14nVb290XmPOZgSH9vU2BlNESAM5qrUQwX0pGRY7PSUw5E4oQnk2xaISMygDObfUTiqXkVYw/2RVbUdzqjuRptch0tmkBLTWZNT3kwFMFtt6SF6sodn8vGqhoXe3tnix6aHDDa1GmN5Zn2NRtnNFWTHNMlQfzqPG7My6BiCEqEEIKtLdW80jP3TftK9xgOq5IOllkJnNlSTf94HQB/7H1qVnrKV3r0UJJtq8ozRWA2trZUA7CnJ5z1/cmEypGBKGe2rJzvtLrWjddhpUazEUqNz0pP2R5q55XuMGc2V68IRwWTrS3V7J23TYURAs5oXjmGYOuqagYm9EDN0PDhgnxGxRCUkO2rfOzrHSOpZvdy2NMT5ozmaqyWlVNNW1uqCSf00YsvmWBmeso93XojXUkNcUuTF4si5hxp7usbQ5OwzTAYKwFFEZzRUo0j5aJPJmelpzynsY29vWNpI7hS2Nrio3NonGiWnOAAe3rG2NjgwW0vvzzZc7G1pZrhxCoAQmOFCSpbOT3Mq5Btq3wkUlp6Uy4TTZPs6V6ZDXEgqYfr94wemZWe8pWeMOv9VXid5R2glInTZmFjQxV75hhp7unWZwpbV9AsB/QORo1VMahANDY0PT2lchoTCXVFficpYf8cRntPT3jFtanTm6oZ1pqwSklovK8gn1ExBCXEXB55uXv2ksPJkQki8dSKWkIBaPA68HgaqFY1nkkOA9PTU76yAo0b6AbulSz1BPp3qnXbaPGVb0KabJzZXE0iWYMmBO2p0WnpKc3vum0FLXeBvjQJZK2roWic3nBsxX2nKoeVdfU+6lUIxYYK8hkVQ1BC1tdX4XFYefHk6Kz3dh8fAWBna01xC5UHgqtrqFUVRhUxLT1lXzhG9+gkwdU1pS3gEgiurqE/Ek/nUchk94kRdq6uSSeyXymctaaGyaSuFjuqiGnpKZ8/PoLbbllRjgoAzT4ngWoHu0+Mznov3aZW6P3nS1kIJed2LlkOFUNQQhRF0Laulj8enW3lnzk6jM9l4/SmlbOWbnL+hnqqkvoabGZ6ymeO6d9z1/r6Oc8tV87foJf56Rl1NRiNc7g/uiK/08YGD9IypbqZmZ7ymWPDnLO2FtsK2p8C3Qnj/A31PH10aJa77zPHhnFYFXauXlkzAtDvP0fSTp82fwDqUllZtfwq5KKNfo4OjNMXnp5Q49nOYc5dV7eiPDZMrlIfY5Oqr9FuSMTT2Z+ePTaMx2FdURvFJpsaPdRV2Xn66PC01587pj/ftaGuFMVaFkII3lg9NcLc8PID8NL9jE4k2N8X4bx1K+87gd5pDkTis2RBnj02zFlranBYV0asRyYXbKzHn4J+oSE/VQNf3pbXrGoVQ1BiLjpNn5o/cXgw/drRgSjHBse5+LSVN8rkpftpfeJ2LOj+zlWpFPziw8iX7ufRAwOcv6F+RXlBmSiKYNf6Op48PIiWkQ7xd/v78TqtbF9hezkAvHQ/7xn8LjZN91qLxsPwiw9z6LffA+CiTf5Slm7JmLO3Jw5Ntan+sRgvd4e5+LSV+Z1au37J2VofcUXh6zXVeU9bu/Ja5KuM05u8NFU7+d+Xp1Ix/HqP7hlw1damuU4rXx65kxcVlQe8+tryQx43HYpK8qFP0T06yTXbVuB3Mrh6axN9YzGeP6GvNSdVjYf3hbjyjMCKW0IB4JE72WPTSAldvuCjAT8disqGl75IoNpBcAXuT4Ge72NzwMOvXppqU78x2tRKvf/EI3eSEPoA5N6a6ryn2FzW3SuEeJsQYo8QQhNCzCmAIYS4RghxQAhxWAhxe8brdUKIh4UQh4z/tcspz0pEUQR/ctYqHj04wEAkjqZJfvZ8N8HVNbSskIjOaYS7aHc6MSMjNKDd6cQW7cFmEbzujMZSlm5ZvO7MAA6rwk9f6Abg9/v7GZ1IrtjOxawrXdBsKm1jbXKAa7Y2rchlSZPrdrTwbOcwJ4cnkFLyk+e7Oa3Rs6IiiqcR7iJk1ffdtAKk2FzuMOYV4C3A43MdIISwAN9AT15/JnCjEOJM4+3bgUeklJuAR4znpxw3tLUipeTrvzvEg6/0cqg/ynsuXFvqYi0NI22jXUqUjLSNPbKeN+1ctSIUR+fC47Dy5rNW8ZPdXRwdiPL13x+mtdbFa09focZtRopNW0ZdveuCFXr/Gby1rRW7ReHLDx/ksYMDvHhylPes5O/ka+Wq8QnsmlaQFJvLTVW5T0p5YIHDzgMOSymPSikTwA+B6433rgfuMx7fB/zJcsqzUtnQ4OGd56/lvj8e59b/eoFtq6p5446WUhdraWSkbbzNSAW4OQZfke/g/1yxqdSlWza3XbEJl83Ca//tMV7qCvOJa05fkXseQLquMtM2bo7BH9Z8YOWOnA2afS5uvnQ9P32hm/d+7zk2NlTxtrbVpS7W0rniDnapCt8pUIrNYsRZrwJOZjzvAnYZjwNmnmIpZa8QYs6hlRDiFuAWgDVr1hSoqKXj/77xTBo8DobGE9z62tNW5pozpLM9BR+5k2C4iwlXM/+z+i9559U3saa+vPPeLoZVNS7+86Zd/L8/HufC0+p5084VarBhWl3tDHcRtgd4bMuHeMsNHypxwfLDx67cQrXTRvfoJB+4bOOKUYbNyox2ha9VNwJ5yq4mFsqQJYT4LZBtEfTvpZQ/N455FPi4lHJWxgQhxNuAq6WUNxnP3wWcJ6W8TQgxKqWsyTh2REq54D5BW1ubbG/Pf3KGChUqVHg1I4TYLaWctZ+74IxASvm6ZX52F5A5J2sFzMzmISFEszEbaAb6l/lZFSpUqFAhR4qx/vAcsEkIsV4IYQfeATxgvPcA8B7j8XuAnxehPBUqVKhQIYPluo++WQjRBVwA/EoI8Rvj9RYhxIMAUsoUcCvwG2AfcL+Uco9xic8CVwohDgFXGs8rVKhQoUIRWXCPoByp7BFUqFChQu7MtUewQl1TKlSoUKFCvqgYggoVKlQ4xakYggoVKlQ4xakYggoVKlQ4xVmRm8VCiAHg+BJP9wODCx5VfCrlyo1KuXKjUq7cKNdywfLKtlZK2TDzxRVpCJaDEKI92655qamUKzcq5cqNSrlyo1zLBYUpW2VpqEKFChVOcSqGoEKFChVOcU5FQ/DtUhdgDirlyo1KuXKjUq7cKNdyQQHKdsrtEVSoUKFChemcijOCChUqVKiQQcUQVKhQocIpzqvWEAghrhFCHBBCHBZCzMqFLHTuMt5/SQhxdhHKtFoI8XshxD4hxB4hxP/JcsxlQoiwEKLD+MtPLrqFy9YphHjZ+MxsCYZK8XttyfgdOoQQY0KIj8w4pii/lxDiu0KIfiHEKxmv1QkhHhZCHDL+Z02qtNC9WIByfUEIsd+op58JIWrmOHfeOi9AuT4lhOjOqKvXz3FusX+vH2WUqVMI0THHuYX8vbL2DUW7x6SUr7o/wAIcATYAduBF4MwZx7we+F9AAOcDzxShXM3A2cZjL3AwS7kuA35Zgt+sE/DP837Rf68sddqHHhBT9N8LuBQ4G3gl47XPA7cbj28HPreUe7EA5boKsBqPP5etXIup8wKU61PomQwXquei/l4z3v834I4S/F5Z+4Zi3WOv1hnBecBhKeVRKWUC+CFw/Yxjrgf+Q+o8DdQIPUtawZBS9kopnzceR9DzM6wq5GfmkaL/XjO4AjgipVxqRPmykFI+DgzPePl64D7j8X3An2Q5dTH3Yl7LJaV8SOp5QACeRs8KWFTm+L0WQ9F/LxMhhABuAH6Qr89bLPP0DUW5x16thmAVcDLjeRezO9zFHFMwhBDrgLOAZ7K8fYEQ4kUhxP8KIbYWqUgSeEgIsVsIcUuW90v6e6FntpurgZbi9wIISCl7QW/IQGOWY0r9u70PfSaXjYXqvBDcaixZfXeOZY5S/l6XACEp5aE53i/K7zWjbyjKPfZqNQQiy2sz/WQXc0xBEEJ4gP8GPiKlHJvx9vPoyx87ga8B/1OMMgEXSSnPBq4FPiSEuHTG+6X8vezAm4AfZ3m7VL/XYinl7/b3QAr4zzkOWajO8803gY1AEOhFX4aZScl+L+BG5p8NFPz3WqBvmPO0LK/l9Ju9Wg1BF7A643kr0LOEY/KOEMKGXtH/KaX86cz3pZRjUsqo8fhBwCaE8Be6XFLKHuN/P/Az9OlmJiX5vQyuBZ6XUoZmvlGq38sgZC6PGf/7sxxTqvvsPcAbgT+XxkLyTBZR53lFShmSUqpSSg24Z47PK9XvZQXeAvxormMK/XvN0TcU5R57tRqC54BNQoj1xmjyHcADM455AHi34Q1zPhA2p2CFwliD/A6wT0r5pTmOaTKOQwhxHnodDRW4XFVCCK/5GH2z8ZUZhxX998pgzpFaKX6vDB4A3mM8fg/w8yzHLOZezCtCiGuATwJvklJOzHHMYuo83+XK3FN68xyfV/Tfy+B1wH4pZVe2Nwv9e83TNxTnHivEDng5/KF7uRxE303/e+O19wPvNx4L+P/buWMUhGEoAMP/7CLopKNncBJP4DVcvY7gKHgHN3dHrTjp7iFcHPIKpVBxMYj5PyiFNJBH+shrUyjruH4BphlimpNe2SrgFMeiFdcKuJK+/B+BWYa4JjHeOcb+ifmKcXukhb3faMs+X6RC9ACepCewJTAEDsAtzoPoOwb273Lxy3HdSXvGdY5t2nF13fMvx7WL3KlIC9XoF+Yr2rd1TjX65pyvrrUhS475iwlJKty/bg1Jkj5kIZCkwlkIJKlwFgJJKpyFQJIKZyGQpMJZCCSpcC+dAfe3K2NwSAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "    plt.figure(2)\n",
    "    plt.plot(t_true, x_true, '-', label='true signal')\n",
    "    plt.plot(t_sampled, x_sampled, 'o-', label='samples')\n",
    "    plt.plot(t_resampled, x_inter_1, '.-', label='interp1 (linear)')\n",
    "    plt.legend([r\"true signal\",r\"samples\",r\"interp1 (linear)\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f864b5b2",
   "metadata": {},
   "source": [
    "线性插值的问题在于结果不是很平滑。其他插值方法可以产生更平滑的近似值。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4653042c",
   "metadata": {},
   "source": [
    "## 样条插值\n",
    "许多物理信号就像正弦波一样，因为它们是连续的并且具有连续的导数。\n",
    "可以使用三次样条插值来重建此类信号，这可确保插值信号的一阶和二阶导数在每个数据点上都是连续的："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b3e47e14",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "    result_visiualize(x_inter_1, x_inter_2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf96998b",
   "metadata": {},
   "source": [
    "三次样条在插值由正弦组成的信号时特别有效。\n",
    "然而，还有其他技术可以用来获得对物理信号的更高保真度，这些物理信号具有高达非常高阶的连续导数。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
